A circle had a sector with area 33pi and central angle of 11/6pi radians what is the area of the circle?

Question

asked Jul 20, 2020 141k views

2 Answers

Amrullah Zunzunia · Answer 1 · 2020-07-27T04:28:54+0000

Answer:

The area of the circle is
$36\pi\ units^(2)$

Explanation:

we know that

The area of a circle subtends a central angle of
$2\pi$ radians

so

By proportion find the area of the circle

$(33\pi )/((11\pi /6))=(x)/(2\pi)\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^(2)$