if the area of circle is 314 cm² then find the radius of circle (π=3.14)
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Answer:
10 cm
Explanation:
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Given:
✰ Area of circle is 314 cm²
✰ π = 3.14
To find:
✠ The radius of circle
Solution:
The area that is enclosed by the circle of radius r is given by the formula πr². We already know the value of area of circle and the value of pi, so we can easily calculate the radius of a circle by putting the values in the formula and forming equation.
Area of circle = πr²
- 314 = 3.14 × r²
- 314/3.14 = r²
- (314 × 100)/314 = r²
- r² = 100
- r = √100
- r = 10 cm
∴ The radius of circle ( r ) = 10 cm
Verification:
Area of circle = πr²
- Area of circle = 3.14 × (10)²
- Area of circle = 3.14 × 10 × 10
- Area of circle = 3.14 × 100
- Area of circle = 314 cm²
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