10.7: Area of Circles and Sectors

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Presentation transcript:

10.7: Area of Circles and Sectors

A sector of a circle is some region created by an arc of the circle and the radii going to its endpoints.

What is the area of the wrestling ring below?

What is the area of the shaded sector?

A segment of a circle is the portion of a circle formed by connecting two endpoints of an arc directly.

What is the area of the shaded segment?

What is the area of the shaded segment?

What is the area of the shaded segment?

12.1: Tangent Lines

Theorem 12.1, 12.2: A line is tangent to a circle if and only if the line is perpendicular to the radius at the point they intersect

ED is a tangent line to O. What is the measure of x?

If ML and MN are tangent to O, what is the value of x?

The CN Tower in Canada has an observation deck 447 meters above the surface of the earth…how far from the deck to the horizon? The earth has a radius of about 6,400 km. (447 meters = 0.45 km)

What is the radius of C?

What is the radius of O?

What is the perimeter of the triangle below?

If the perimeter of the triangle is 88 cm, what is the length of QY?

Homework: Area Worksheet Quiz retakes on Friday