Question

A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?

Answer 1

Answer:

$A = 9\pi$

Step-by-step explanation:

The total area of the circle is determine by simple rule of three:

$A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)$

$A = 9\pi$

Answer 2

Answer:

The area of the circle is $9\pi \ units^{2}$

Step-by-step explanation:

we know that

A circle has a sector with area $3\pi/2$  and central angle of 60 degrees

The area of a complete circle subtends a central angle of $360\°$

so

using proportion

Find the area of the circle

$\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}$