A sphere has a radius of r. What is the area of a cross section taken at a distance of 1/2r from the center of the sphere?
1 answer:
Answer:
D. ¾ πr²
Step-by-step explanation:
If r is the radius of the sphere, and R is the radius of circular cross section, then:
r² = (½ r)² + R²
r² = ¼ r² + R²
¾ r² = R²
So the area of the circular cross section is:
A = πR²
A = ¾ πr²
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