Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures 110∘. Use 3.14 for π.π. Round to the nearest hundredth.

Wotzdorfg 2021-05-22 Answered
Solve each problem. Show your work. The diameter of a circle is 12 inches. Find the area of a sector of the circle with a central angle that measures 110∘. Use 3.14 for π.π. Round to the nearest hundredth.
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Expert Answer

Demi-Leigh Barrera
Answered 2021-05-23 Author has 97 answers
Determine the value of the radius.
r=d2=122=6
Determine the area of the sector.
A=N360(πr2) Write the formula for area of a sector
A=110360(3.14)(62) Substitute the values
A=11360(3.14)(36) Evaluate the exponent
A=1136(3.14)(36) Simplify the fraction
A ~ 34.54 Multiply the values.
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