Warm-Up A circle has a diameter of 10 in. What is the arc length in radians of a sector with 135°? What is the arc length in radians of a sector with 95°?

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Presentation transcript:

Warm-Up A circle has a diameter of 10 in. What is the arc length in radians of a sector with 135°? What is the arc length in radians of a sector with 95°? The circle has a circumference of 36π feet. If a degree measure is ⅘π, what is the measure of the minor arc?

Day 28 – Area of a Circle, a Sector & a Segment Analytic Geometry for College Graduates #Doyouhavegrit

2 Types of Answers Exact Rounded Pi will be in your answer Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your answer

The amount of space occupied. Area The amount of space occupied. r A= pr2

Find the EXACT area. r = 29 feet d = 44 miles

Ex 3 & 4. Find the area. Round to the nearest tenths. 53 cm 7.6 yd

Sector the region bounded by two radii of the circle and their intercepted arc.

Area of a Sector

Find the area of the sector to the nearest hundredths. Example 5 Find the area of the sector to the nearest hundredths. R 6 cm 60  Q A  18.85 cm2

Find the exact area of the sector. Example 6 Find the exact area of the sector. 6 cm 120 7 cm Q R 

Working Backwards

Ex 7 Find the radius of the circle if the area of the circle is 225 cm2.

Ex 8 Find the radius. Round to the nearest hundredth.  100◦

Ex 9 Find the radius. Round to the nearest hundredth. 80◦ 

Area of a Segment

Ex. 10 Find the area of the segment to the nearest hundredths.

Ex. 11 Find the area of the segment to the nearest hundredths.

Classwork Worksheet Omit #10