find the area of a quadrant of a circle whose circumference is 25 cm
Answers
Answered by
16
Circumference = 2πr = 25 cm
2 × 22/7 × r = 25
Therefore 44/7 = 25/r
44 r = 175
r = 175 / 44
Area of quadrant = 1/4 πr²
1/4 × 22/7 × 175/44 × 175/44
= 4375/352 cm²
= 12.42 cm²
2 × 22/7 × r = 25
Therefore 44/7 = 25/r
44 r = 175
r = 175 / 44
Area of quadrant = 1/4 πr²
1/4 × 22/7 × 175/44 × 175/44
= 4375/352 cm²
= 12.42 cm²
Answered by
1
Answer:
12.42 cm²
Step-by-step explanation:
Given,
Circumference = 2πr = 25 cm
To Find,
The area of quadrant of the circle.
2 × 22/7 × r = 25
Therefore 44/7 = 25/r
44 r = 175
r = 175 / 44
Area of quadrant = 1/4 πr²
1/4 × 22/7 × 175/44 × 175/44
= 4375/352 cm²
= 12.42 cm²
Hence, the answer is 12.42 cm².
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