Question

Calculate the radius of a circle whose area is 44 square centimeters, and an angle subtended at the center of the circle is 35 degrees.

A) 2 cm
B) 3 cm
C) 4 cm
D) 5 cm

Answer 1

To calculate the radius of a circle given its area and an angle subtended at the center, we use the formula for the area of a sector and solve for the radius. In this case, the radius is calculated using an angle of 35 degrees and an area of 44 square centimeters.

Step-by-step explanation:

To calculate the radius of a circle, given its area and an angle subtended at the center, we need to use the formula for the area of a sector.

First, we know that the area of the circle is 44 square centimeters. We can use this information to find the radius.

We also know that the angle subtended at the center is 35 degrees. To find the radius, we can use the formula:

Area of sector = (angle / 360) * π * r^2

44 = (35 / 360) * π * r^2

We can solve this equation to find the value of r, which is the radius of the circle.

r = √((44 * 360) / (35 * π))

Using a calculator, we can evaluate this expression to find the value of r.