Question

The radius of a circle is 1 foot. What is the area of a sector bounded by a 45 arc?

Answer 1

Explanation:

The formula for the area of a sector is

`A=(\theta)/(360)*\pi r^2`

where θ is the central angle and r is the radius. Filling in our values:

`A=(45)/(360)*\pi (1)^2`

This is true because a central angle is the same measure as the arc it cuts off. Doing the math on that:

A = π/8 or as a decimal A = .3927 ft squared