The diameter of a circle is 16 meters. What is the angle measure of an arc bounding a sector with an area eight pi square meters? (give the exact answer in simplest form)

45°

Step-by-step explanation:

Diameter= 16m

Radius= 16/2 = 8m

The area of the circle= πr^2

= π8^2

= 64π square metres.

An area of 8π square metres is also 1/8 of the total area, therefore the arc must be 1/8 of the circumference.

The circumference = 2πr = 16π,

This gives us an arc length of 2π metres.

But since we are looking for the the angle.

In degrees: 360/8 = 45°

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )