Find the area of the shaded region:
2 answers:
Find the area of the circle:
Area = PI x r^2
Area = 3.14 x 9^2
Area = 3.14 x 81
Area = 254.34 square cm
Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:
254.34 x 80/360 = 20,347.2/360 = 56.52
The shaded area is 56.52 square cm.
Area of circle formula: A = πr²
A = π(9)²
A = 81π
A = 254.34cm²
The ratio of degrees in the shaded region to total degrees in a circle:
80/360 = 40/180 = 20/90 = 10/45 = 2/9
Multiply:
254.34/1 * 2/9
508.68/9
56.52
Therefore, the area of the shaded region is 56.52cm²
Best of Luck!
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