Question

What is the sector area from a circle with a measured central angle of 270° with a radius of 12 units?

Answer 1

The appropriate answer is "108π unit²".

Step-by-step explanation:

The given values are:

Angle,

`\Theta = 270^(\circ)`

Radius,

r = 12 units

Now,

The area of the sector of a circle will be:

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

On substituting the given values in the above formula, we get

=
`(270)/(360)* \pi * (12)^2`

=
`0.75* \pi* 144`

=
`108\pi \ unit^2`