Question

the circumference of a circle is 176cm.find its radius ​

Answer 1

Answer:

28cm

Step-by-step explanation:

c = 2πr

176 = 2×22×r/7

176×7/44 = r

r = 28

radius = 28cm

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Answer 2

Given :

• Circumference of the circle = 176 cm.

To Find :

The radius of the circle.

Solution :

Analysis :

Here by using the formula of circumference we can find the radius.

Required Formula :

Circumference = 2πr

where,

• π = 22/7
• r = radius

Explanation :

Let us assume that the radius is "r" cm.

• Circumference = 176 cm

We know that if we are given the circumference ofvthe circle and is asked to find the radius then our required formula is,

Circumference = 2πr

where,

• π = 22/7
• r = r cm
• Circumference = 176 cm

Using the required formula and substituting the required values,

⇒ Circumference = 2πr

⇒ 176 = 2 × 22/7 × r

⇒ 176 = 44/7 × r

⇒ 176 × 7/44 = r

⇒ 1232/44 = r

⇒ 28 = r

∴ Radius = 28 cm.

The radius of the circle is 28 cm.

Verification :

⇒ Circumference = 2πr

⇒ 176 = 2 × 22/7 × 28

⇒ 176 = 44/7 × 28

⇒ 176 = 1232/7

⇒ 176 = 176

∴ LHS = RHS.

• Hence verified.