The circumference of a circle is 176cm.find it's diameter and radius
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Given:
- The circumference of the circle = 176 cm
To Find:
- The radius and the diameter of the circle.
Solution:
We know that,
Circumference = 2πr
Where "r" is the radius.
Rearrange the above formula in the form of radius.
⇒ r = circumference/2π → {equation 1}
On substituting the given values in equation 1 we get,
⇒ r = 176/2×(22/7) = 176×7/2×22 {taking 7 to the numerator and multiplying the terms}
⇒ r = 1232/44 {dividing the terms}
⇒ r = 28 cm
We know that,
Diameter = 2×radius→ {equation 2}
On substituting the value of "r" in equation 2 we get,
⇒ D = 2×28 = 56 cm {multiplying the terms}
∴ The diameter of the circle = 56 cm and the radius of the circle = 28 cm.
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