area of a circle is 154 cm2,find it's circumference
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Answer:
Circumference=43.99 cm
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→Question: Area of a circle is 154cm² , find it's circumference.
↔Solution:
⇒Given: Area of circle = 154cm²
⇒To find: Circumference of the circle = ?
⇒We know, area of circle = πr²
⇒ ²²⁄₇ × r² = 154
⇒r² =154 × ⁷⁄₂₂
⇒r² = 49
⇒r=√49
⇒∴r= 7cm
Now, circumference of circle =2πr
⇒2 × ²²⁄₇ × r
⇒2 ײ²⁄₇ ×7
⇒⁴⁴⁄₇ ×7
⇒44cm
∴If area of a circle is 154cm² , then it's radius will be 7cm and the circumference will be 44cm.
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