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A sector with a radius of 8 cm has a central angle measure of 225

What is the area of the sector?

2 Answers

3 votes

Answer:

40pi cm^2

Explanation:

khan academy :)

User Paul Vu
by
6.3k points
4 votes

Answer:

≈ 125.66 cm²

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
(225)/(360)

= π × 8² ×
(5)/(8)

= 64π ×
(5)/(8) = 8π × 5 = 40π ≈ 125.66 cm² ( to 2 dec. places )

User Knio
by
7.3k points