Question

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and Θ =

π
4

Answer 1

area = (9/8)π cm²

Explanation:

That proportionality gives rise to the area formula ...

A = (1/2)r²Θ

Filling in the given values, we have ...

A = (1/2)(3 cm)²(π/4) = 9π/8 cm²

The sector area is 9π/8 cm².