Question

For an arc length s, area of sector A, and central angle of a circle of radius r, find the indicated quantity for the given value. A = 0.0145 ft^2, θ = 322.0°, r = ?

Answer 1

To find the radius of the circle, you can use the formula A = (θ/360)πr², where A is the area of the sector, θ is the central angle in degrees, and r is the radius of the circle. Plugging in the given values, we can solve for r.r ≈ 0.394 ft.

Step-by-step explanation:

To find the radius of the circle, given the area of the sector and the central angle, we can use the formula:

A = (θ/360)πr²

Plugging in the given values, we have:

0.0145 = (322/360)πr²

Simplifying this equation, we get:

r² = (0.0145 * 360) / (322/360)π

Solving for r, we find:

r ≈ 0.394 ft