What is the area of a sector with radius equal to 8 and measure of arc equal to 300°?

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Question

What is the area of a sector with radius equal to 8 and measure of arc equal to 300°?

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anonymous · Answer

300° = 300*(3.14/180) radians = 5.233 radians

area of sector = 1/2 * r^2 * angle subtended

= 1/2 * 64 * 5.233

= 167.47

anonymous · Answer

angle                        300 deg         22                   30 * 22 * 64        42240
area = --------  * πr²  =  ---------- * ----- * (8)² = ------------ = -------
              360 deg                     360 deg          7                       36 * 7                252

area = 167.62 cm²