Question

question 7 of 10 the area of a circle of radius 12 units is equal to the surface area of a sphere of radius 6 units. a. true b. false

Explanation:

Step1: Calculate circle area

Formula: $A_{circle} = \pi r^2$. For $r=12$:
$A_{circle} = \pi (12)^2 = 144\pi$

Step2: Calculate sphere surface area

Formula: $A_{sphere} = 4\pi r^2$. For $r=6$:
$A_{sphere} = 4\pi (6)^2 = 4\pi \times 36 = 144\pi$

Step3: Compare the two areas

$144\pi = 144\pi$, so they are equal.

Answer:

A. True