Question

Find the radius of a circle and its area if it's circumference is 16π cm.​

Answer 1

Given :

• Shape = Circle
• Circumference of Circle = 16π cm

To Find :

• Radius of Circle
• Area of Circle

Solution :

⟹ Circumference of Circle = 2πr

⟹ 16π = 2πr

⟹ 16 = 2r

⟹ 16/2 = radius

⟹ 8cm = radius

Now,

⟹ Area of Circle = πr²

⟹ Area of Circle = 22/7 × (8)²

⟹ Area of Circle = 22/7 × 8 × 8

⟹ Area of Circle = 22/7 × 64

⟹ Area of Circle = 22 × 64/7

⟹ Area of Circle = 1408/7

⟹ Area of Circle = 201.14 cm²

Therefore :

• Radius of Circle = 8cm
• Area of Circle = 201.14cm²

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★ Additional Info :

Formulas Related to Circle:

• Circumference of Circle = 2πr
• Area of Circle = πr²
• Diameter of Circle = 2r
• Radius of Circle = D/2

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