Find the area of the sector of a circle with radius 4 inches formed by a central angle of [tex]\frac{5\pi}{4}[/tex] radians. Give your answer correct to 3 decimal places.

Respuesta :

Answer:

10in²

Step-by-step explanation:

5π/4 is 62.5% of a circle if you look at the unit circle.

So just find the area of a circle and take 62.5% of it.

A = πr²

A = π(4)²

A = 16π

16π(.625) = 10