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

Reason: Circumference = [tex]2\pi \times \text{radius}[/tex]

a. Both assertion and reason are correct and reason is the correct explanation.
b. Both assertion and reason are correct but reason is not the correct explanation for assertion.
c. Assertion is correct but reason is incorrect.
d. Assertion is incorrect but reason is correct.

Answer :

Final answer:

In this case, Both assertion and reason are correct and reason is the correct explanation

The answer is A

Explanation:

The assertion in the question states that if the circumference of a circle is 176 cm, then its radius is 28 cm. The reason provided is that the circumference equals 2π times the radius (2πr).

We can use this formula to verify the assertion by substituting the given circumference.

The formula for calculating the circumference of a circle is indeed C = 2πr.

If we solve this equation for r (radius) we get r = C / 2π. Substituting 176 cm for circumference we get, r = 176 / (2π) = approximately 28 cm.

Therefore, the answer is (a) — Both assertion and reason are correct and reason is the correct explanation for assertion. The assertion accurately predicts the radius based on the circumference using the formula for the circumference of a circle.

The answer is A

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