Question

What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter​

Answer 1

Explanation:

The area of a sector in terms of radians as opposed to degrees is

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

Filling in the formula accordingly gives us

`A=(1.75rad)/(2\pi rad)*\pi (2)^2`

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with

A = 1.75(2) so

A = 3.5 units squared