Answer:
Explanation:
Whole Circle
The formula for the area of a circle is ...
A = πr² . . . . . where r is the radius and π is the value given
The radius of the circle is half the diameter, so is 0.4 m. Putting the numbers into the formula, we get ...
A = (314)(0.4 m)² = 0.5024 m²
Rounding to the nearest tenth, the area is ...
0.5 m²
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Area of Sector CTM
As above, the area of the circle is ...
A = πr² = (3.14)(3 in)² = 28.26 in²
A whole circle has a central angle of 360°. The sector of interest has a central angle of 125°, so its area is the fraction 125/360 of the area of the whole circle.
sector area = (125/360)(28.26 in²) = 9.8125 in²
Rounding to the nearest tenth, the sector area is ...
9.8 in²