What is the area of a circle with diameter 10?

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Multiple Choice

What is the area of a circle with diameter 10?

Explanation:
The area of a circle depends on the radius, not the diameter directly. The radius is half the diameter, so here r = 10/2 = 5. Then A = πr^2 = π × 5^2 = 25π. Another way is A = (π/4) d^2, and with d = 10, A = (π/4) × 100 = 25π. The other values would require a different radius that doesn't come from a diameter of 10.

The area of a circle depends on the radius, not the diameter directly. The radius is half the diameter, so here r = 10/2 = 5. Then A = πr^2 = π × 5^2 = 25π. Another way is A = (π/4) d^2, and with d = 10, A = (π/4) × 100 = 25π. The other values would require a different radius that doesn't come from a diameter of 10.

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