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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.
Solution
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
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