Question

Find the area of all shaded regions. Give your answer as a completely simplified exact value in terms of pi. (no approximations)

Answer 1

56.55 cm^2

Explanation:

Since a circle is 360 degrees and the piece is 80 degrees, the shaded area is 4.5 of the total area of the circle (9/2). Find the area of the circle:

`\pi r^(2)`

`\pi 9^(2)`

`\pi 81`

`254.47/4.5`

56.55 cm^2

Answer 2

To find the area of the shaded region, you first use the equation A = πr²

The radius of the circle is 9 cm. So A = π(9²)

A = 3.14 (81)

A = 254.34 (entire circle)

The entire circle is 360°

and 4.5 of the 80°'s will equal 360°

254.34 ÷ 4.5 = 56.52

ANSWER: 56.52 cm²