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What is the area of a sector of a circle that has a diameter of 10in if the length of the arc is 10in?
Wiki User
∙ 14y ago
25 square inches.
Method:
- The area of complete circle is Pi x radius2 which is 3.14159 x 5 x 5, = 78.53982 sq ins.
- The circumference of a circle is Pi x diameter, which is 3.14159 x 10, = 31.4149 ins.
- But the arc is only 10/31.4159ths of the length of the full circle (10 divided by 31.4159 is 0.3183).
- So the area of sector with an arc 10 inches in length is: area of full circle (78.53982) x 0.3183 = 25.
The above figures are only to a few significant decimal places. If you do the computations on a computer or a calculator the answer will come to exactly 25
Wiki User
∙ 14y ago
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The area of a circle when the circumference is 10 inches is: 7.96 square inches.
What is the area of a circle with a diameter of 10in.?
The area would be 78.53 squared inches. Formula: PI (x) Radius squared = Area Radius is half of the diameter of the circle. So the radius is 5 Inches. (10 divided by 2 = 5) 3.14 x 5 squared = Area ---> 3.14 x 25 = 78.53981634 Hope that helped
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The area would be 78.53 squared inches. Formula: PI (x) Radius squared = Area Radius is half of the diameter of the circle. So the radius is 5 Inches. (10 divided by 2 = 5) 3.14 x 5 squared = Area ---> 3.14 x 25 = 78.53981634 Hope that helped
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