Question

Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.

Reason (R): Circumference = 2π × radius of a circle.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

Explanation:

Circumference  = 176 cm

Circumference = 2πr    ...(where 'r' is the radius of circle)

⇒ 176 = `2xx22/7xx"r"`

⇒ 176 × 7 = 2 × 22 × r

⇒ 1232 = 44r

⇒ `1232/44` = r

⇒ r = 28 

∴ The radius of the circle = 28 cm