A circle has a sector with area \dfrac{64}{5}\pi 5 64 πstart fraction, 64, divided by, 5, end fraction, pi and central angle of \purple{\dfrac{8}{5}\pi} 5 8 πstart color #9d38bd, start fraction, 8, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the circle?

Area of circle is

Step-by-step explanation:

Since angle is given in radians, so using formula for area of sector in radians is given as,

Given area of sector and angle. Therefore substituting the values in above formula,

Cancelling out the common term,

Multiplying with 2 on both sides,

Therefore value of is

Formula for area of circle is,

Substituting the value,

Therefore area of circle is

14

step-by-step explanation:

14 x 3 = 42