The area of the sector is 54 m². If the central angle is 65°, what is the radius of the sector?
Where is the area of the sector of a circle whose radius is and the central angle has a radian measure of .
» Convert degree measure to radians.
» Use the formula for calculating the area of the sector of the circle and solve for r. (Note π = 3.1415)
The radius of the circle is approximately equal to 9.75715 m.
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PROBLEM:
The area of the sector is 54 m². If the central angle is 65°, what is the radius of the sector?
SOLUTION:
GIVEN:
FORMULA TO USE:
Where
is the area of the sector of a circle whose radius is
and the central angle has a radian measure of
.
SOLVE:
» Convert degree measure to radians.
» Use the formula for calculating the area of the sector of the circle and solve for r. (Note π = 3.1415)
ANSWER:
The radius of the circle is approximately equal to 9.75715 m.