7.7: Areas of Circles and Sectors

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Presentation transcript:

7.7: Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles

Area of a Circle: r = radius length MUST USE RADIUS WHEN FINDING AREA!!!

How much more pizza is in a 12-in. diameter pizza than in a 10 in How much more pizza is in a 12-in. diameter pizza than in a 10 in. diameter pizza?

Find the area of each circle. Leave your answer in terms of 1. 2. 12.5 m 30 ft

Find the area of the circle. Round your answer to the nearest tenth.

Area of a Sector of a Circle Region bounded by an arc and 2 radii Name using an arc endpoint, the center of the circle, and the other endpoint It is a fraction of the circle’s AREA A r B O

Area of a Sector: Area of a sector = measure of the arc • 360

Find the area of each sector. Leave your answers in terms of K A 72◦ 20cm 5 ft. B J O O

Segment of a Circle: Part of a circle bounded by an arc and the segment joining its endpoints TO FIND THE AREA OF A SEGMENT: n Area of Sector – Area of Triangle

Find the area of each segment. Round your answer to the nearest tenth.