SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the.

Slides:



Advertisements
Similar presentations
Chapter 12.1 Tangent Lines. Vocabulary Tangent to a circle = a line in the plane of the circle that intersects the circle in exactly one point.
Advertisements

Areas of Regular Polygons 11.2 California State Standards 8 : Solve problems involving perimeter and area. 10: Find area of polygons 16: Perform constructions.
Find the volume of a pyramid whose base is a square with sides of length L and whose height is h.
Circle A is centered at (2,2) with a radius of 12 cm and Circle B is centered at (8,-2) with a diameter of 6 cm. Determine the translation and dilation.
11.2 Area of Regular Polygon
Constructing Regular Hexagons Inscribed in Circles Adapted from Walch Education.
Adapted from Walch Education Triangles A triangle is a polygon with three sides and three angles. There are many types of triangles that can be constructed.
8-1A Inscribed and Circumscribed Figures What is a circle? What are the parts of a circle? What does inscribed mean? What does circumscribed mean?
Warm-Up Given: AB has endpoints A (3, -4) and B (-1, -6) Find: Midpoint M and Distance.
 Acute angles are < 90 0  Obtuse angles are > 90 0  Right angles are = 90 0  Supplementary angles total to  Complementary angles total to.
EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +
Areas of Segments of Circles SWBAT: To find the areas of segments of circles.
WARM UP 1)Find the area of a trapezoid with bases 8 and 11 and a height of )Find the area of an equilateral triangle with sides 8ft. 3)An isosceles.
9.2 – The Area of a Triangle Essential Question: Explain the two ways to find the area of a triangle.
Modeling with Trigonometric Functions and Circle Characteristics Unit 8.
Answers to homework problems – page 8
Angles and Arcs Circles and Circumference Arcs and Chords.
We can work this out without a calculator.
Lesson 9.3A R.4.G.6 Solve problems using inscribed and circumscribed figures.
11-1 Tangent Lines Learning Target: I can solve and model problems using tangent lines. Goal 2.03.
A chord of a circle is subtended by an angle of x degrees. The radius of the circle is 6 √ 2. What is the length of the minor arc subtended by the chord?
10.3 Areas of Regular Polygons
Jeopardy VocabularyAnglesFind XCircleTTriangle Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
Sectors, Segments, & Annuli
Geometry Mr. Bower BowerPower.net. What is an inscribed ∠ ?
 decimals/cc-7th-fracs-to-decimals/v/converting-fractions-to-decimals-example.
Find the point P that partitions the segment from A (-1, -4) to B (6, 10) in the ratio of 2:5. Answer: (1, 0)
Warm ups What is the estimated perimeter of the shape? 10 cm 5cm 10 cm C = π d 10 For both blue parts together!! They both form one whole circle!!
Measuring Inscribed Angles. Definition of Inscribed Angle An inscribed angle is an angle with its vertex on the edge of a circle.
Terra Nova Practice Review of Lessons Problem 1 If you plot the following points on the grid below and connect them, what figure do you get?
Perimeter of different shapes. *Engage* We take some different shapes How to measure their boundary.
Areas of Regular Polygons Section Theorem 11.3 Area of an Equilateral Triangle: The area of an EQUILATERAL triangle is one fourth the square of.
Bellwork Anna wants to completely cover the rectangular ceiling of her room with soundproof tile so she can play her stereo as loudly as she wants. Her.
Archimedes The area of the unit circle.  Archimedes ( B.C.) sought a way to compute the area of the unit circle. He got the answer correct to.
1.7 - Find Perimeter, Circumference, and Area. Perimeter: Length around a shape. Measured in u cm, in, ft, yd.
Circles, Polygons and Area WHAT CAN YOU DEDUCE, GIVEN VERY LITTLE INFORMATION?
Jim Rahn Based upon NCTM Triangle ClassificationNCTM Triangle Classification.
Circles, Polygons, Circumference and Perimeter WHAT CAN YOU DEDUCE, GIVEN VERY LITTLE INFORMATION?
© T Madas. Find the mean percentage mark of 37%, 42%, 68%, 55% and 39%. Find of Find 7% of 675. Find the area of a triangle with base of 1.25.
WARM UP Find the area of an equilateral triangle with sides 8 ft.
CA Review. Law of Sines and Cosines 1.Given a triangle with angles 98 and 50 degrees with an included sides of 15. What is the length of the side opposite.
11.5 Areas of Regular Polygons Objective: After studying this section you will be able to find the areas of equilateral triangles and other regular polygons.
Section 11.6 Area of a Regular Polygon. Homework Pg 765 #14-16, 19-21,
The Circle. Examples (1) – (5) Determine the center and radius of the circle having the given equation. Identify four points of the circle.
SATMathVideos.Net Find the perimeter of the square in which a circle having an area of 200 feet squared is inscribed. A) 50 feet B) 100 feet C) 150 feet.
Inscribed and Circumscribed Circles Dr. Jason Gershman.
Geometric Probability Brittany Crawford-Purcell. Bertrand’s Paradox “Given a circle. Find the probability that a chord chosen at random be longer than.
30 ° 60 ° s S2S2 S√3 2 A= s 2 √3 4 A= s 2 √3 4 S= 3 A= 3 2 √3 4 A= 9√3 4 A≈ 3.9.
Recap: This circle has a diameter of 1. What is its circumference? 1.
Geometry: From Triangles to Quadrilaterals and Polygons.
Geometric Probability Probability Recall that the probability of an event is the likelihood that the event will occur.
EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.
Warm-up An equilateral triangle is inscribed in a circle with a radius of 4 meters. Find the area of shaded region? 4 m.
bell ringer 1. What is an angle bisector? How many are in a triangle?
Day 43 – regular hexagon inscribed in a circle
Day 44 – Summary of inscribed figures
Solving Problems with Circles and Triangles
Unit 2 – Similarity, Congruence, and Proofs
THE AREA OF A CIRCLE An introduction to approximating the area of a circle.
Day 41 – Equilateral triangle inscribed in a circle
Difficulty: Medium In the figure above, inscribed triangle ABC is equilateral. If the radius of the circle is r, then the length of arc AXB is a) b) c)
Objectives Justify and apply properties of 45°-45°-90° triangles.
Applications of the Distance Formula
Geometry/Trig Name: __________________________________
bell ringer 1. What is an angle bisector? How many are in a triangle?
It’s Friday! Warm-Up… Quickwrite…
Directions: Cut out each of the triangles below
Point of Concurrency Definition: the point at which two or more lines, line segments or ray intersect. Picture:
Day 44 – Summary of inscribed figures
The Super 9 – Angles GOOD – calculate the missing angles
Presentation transcript:

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% r

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% r

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% r ?

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% ?

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% ? ? ?

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% ?

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% ? ?

SATMathVideos.Net If a circle of radius, r, is inscribed inside an equilateral triangle, what percentage of the area of the triangle is covered by the circle? A) 10% B) 30% C) 60% D) 90% Answer: C