If a circle has radius 5, which of the following pairs correctly gives its circumference and area?

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Multiple Choice

If a circle has radius 5, which of the following pairs correctly gives its circumference and area?

Explanation:
The key idea is using the circle formulas in terms of the radius: circumference C = 2πr and area A = πr^2. With a radius of 5, the circumference is C = 2π(5) = 10π, and the area is A = π(5)^2 = 25π. That’s why the pairing with circumference 10π and area 25π is correct. The other options come from using an incorrect formula (like πr for circumference) or mixing up diameter and radius, which leads to those wrong numbers.

The key idea is using the circle formulas in terms of the radius: circumference C = 2πr and area A = πr^2. With a radius of 5, the circumference is C = 2π(5) = 10π, and the area is A = π(5)^2 = 25π. That’s why the pairing with circumference 10π and area 25π is correct. The other options come from using an incorrect formula (like πr for circumference) or mixing up diameter and radius, which leads to those wrong numbers.

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