http://www.ck12.org Chapter 10. Perimeter and Area
Acircle= 162 π= 256 πAsquare=(
16
√
2
) 2
= 256 · 2 = 512
The area of the shaded region is 256π− 512 ≈ 292. 25
- The right angle tells us that this sector represents^14 of the circle. The area of the whole circle isA=π 82 = 64 π.
So, the area of the sector is^1464 π= 16 π.
Practice
Find the area of the blue sector or segment in
⊙
A. Leave your answers in terms ofπ. You may use decimals or
fractions in your answers, but do not round.
1.
2.
3.
4.
5.
6.Find the radius of the circle. Leave your answer in simplest radical form.
7.
8.
9.Find the central angle of each blue sector. Round any decimal answers to the nearest tenth.
10.
11.
12.- The area of a sector of a circle is 54πand its arc length is 6π. Find the radius of the circle.
- Find the central angle of the sector from #13.
- The area of a sector of a circle is 2304πand its arc length is 32π. Find the central angle of the sector.