Find the circumference of a circle whose area is 169 pi cm^ 2 .
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Answers
Answer:
C=2πr
Step-by-step explanation:
please make me brainiliest
Answer:
81.714 cm
Step-by-step explanation:
Given:
Area = 169π cm²
To find:
Circumference of the circle.
Solution:
We know that the formula to calculate the area of a circle is
Area = πr²
Area of the circle is given. So, substituting the area in the above formula,
169π = πr²
Cancel 'π' on both sides, since they are like terms.
We get
169 = r²
∴ r =
r = 13cm
Now, we can calculate the circumference of the circle.
The formula to calculate the circumference of the circle is
Circumference = 2πr
Since the value of π is not mentioned, we can use the value of π as for simple calculation.
Now, substituting the value of pi(π) and r(found above) in the formula,
Circumference = 2 × × 13
=
= 81.714 cm