Question

A circle with area 81pi has a sector with a central angle of 310 degrees.

What is the area of the sector?

Answer 1

@gorv

Answer 2

circle measure 360degree agree??

Answer 3

2 *pi measure 81 pi
1 will measure =81pi/2Pi

Answer 4

hole on

Answer 5

hold on

Answer 6

310 degree we need to convert it into radian

Answer 7

ok

Answer 8

@gorv

Answer 9

where'd you go?

Answer 10

u know isosceles triangle ??

Answer 11

lol i m asking u ??

Answer 12

Oh.. ok yes

Answer 13

@Ahaanomegas

Answer 14

\(\large A_{sector} = \dfrac{\theta}{360}\pi r^2\)

Where \(\theta\) is the measure of the central angle of the sector in degrees.

Answer 15

In the formula above, \(\pi r^2\) is the area of the circle.
In this problem, you know the area of the circle is \(81 \pi\), so just replace \(\pi r^2\) with \(81\pi\). Then replace \(\theta\) with 310.