Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches.

154.7°

Step-by-step explanation:

Formula for calculating length of an arc = theta/360× 2πr

Where r is the radius

theta is the angle subtended by the arc

Given length of an arc = 27in

Radius of the circle = 10in

Substituting this values in the formula to get theta

27 = theta/360 × 2π(10)

27 = theta/360×20π

20π × theta = 360×27

62.832 × theta = 9720

theta = 9720/62.832

theta = 154.7°

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb