Question

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answer 1

Answer: b. 8

Step-by-step explanation: I don’t have work

Answer 2

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Calculation of the radius of the circle;

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = $65 / 360 *$ Area of circle

$104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2$

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

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