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The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?

give exact answer in simplest form

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PLEASE HELP ME THANK YOU i really need it The radius of a circle is 6 inches What is the area of a sector bounded by a 102 arc give exact answer in simplest for class=

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wegnerkolmp2741o

Answer:

10  1/5 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2 = pi *6^2 = 36 pi

Then find the fraction of the circle that is shaded

A circle is 360 degrees

102/360 =17/60

Multiply the fraction by the area

17/60 * 36 pi

51/5 pi

10  1/5 pi

Answer:

32.04

Step-by-step explanation:

firstly area of a sector is angle/360 multiplied by pi *r squared

so in this case it is going to be 102/360 *pi *6^2

6 squared is 36 all multiplied by pi and 106/360

it is advisable that you enter them all at once in your calculator

the final answer will be32.0444507

which is rounded to 32.04

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