the area of a circle is 24.64 cm Square then find its circumference
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Answered by
10
Answer:
Step-by-step explanation:
Area of circle=24.64
22/7×r^2=2464/100
r^2=2464/100×7/22
r^2=784/100
r=28/10
r=2.8
Circumference = 2×22/7×28/10=17.6 cm
Answered by
6
★ Given Data :
- Area of Circle = 24.64 cm²
★ To Find :
- Radius of the Circle
- Circumference of the Circle
★ Solution :
We know : Area of Circle = πr²
➠ 24.64 cm² = πr²
➠ 24.64 cm² = 22/7 × r²
➠ 24.64 cm² = 22r²/7
➠ 24.64 cm² × 7 = 22r²
➠ 172.48 cm² = 22r²
➠ 172.48/22 cm² = r²
➠ 7.84 cm² = r²
➠ r = √7.84 cm
➠ Radius = 2.8 cm
Also : Circumference of Circle = 2πr
➠ Circumference of Circle = 2 × 22/7 × 2.8 cm
➠ Circumference of Circle = 44/7 × 2.8 cm
➠ Circumference of Circle = 44/1 × 0.4 cm
➠ Circumference of Circle = 44 × 0.4 cm
➠ Circumference of Circle = 17.6 cm
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