if the circumference of a circle is 352 cm then find the radius and area of the circle
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Answer:
r = 56 cm
area = 9856 cm^2
Step-by-step explanation:
Radius
Circumference of a circle = 2 π r
Circumference of a circle = 352 cm
- 2 π r = 352
- 2×(22/7)×r = 352
- r = 352×7÷(2×22)
- r = 176×7÷22
- r = 88×7÷11
- r = 8×7
- r = 56 cm
Area
- area of a circle = πr^2
- area of a circle = 22/7×56×56
- area of a circle = 22×8×56
- area of a circle = 9856 cm^2
Answered by
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Here the circumference of the circle is given to be 352 cm
We have to find the radius and area
We will first find out the radius of the circle by using formula of circumference
circumference = 2πr
352 = 2 × (22/7) × r
r = 56 cm
Now, we will find the area of the circle
area = πr²
= (22/7) × 56 × 56
= 9856 cm²
Hence, the radius and area of the circle will be 56 cm ans 9856 cm²
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