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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:

The assertion in the statement is incorrect, but the reason is correct. The circumference of a circle is indeed calculated as 2πr, but if we apply this formula to determine the radius from the given circumference of 176 cm, we find that the radius is approximately 28.02 cm, not exactly 28 cm.

This correct answer is d.

Explanation:

The assertion in the given statement is incorrect; however, the reason provided is correct. The formula for the circumference of a circle is indeed 2πr (2 times π times the radius of the circle). However, if we substitute 176 cm for the circumference and solve for the radius like this:

C = 2πr

176 = 2πr

r = 176/(2π)

We find that the radius is approximately 28.02 cm, not exactly 28 cm. Therefore, the option that correctly describes the given statement would be 'd': Assertion is incorrect but reason is correct.

This correct answer is d.

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