Question

GEOMETRY | Finding Surface Area of Spheres | Sphere: circumference of great circle = π cm (how am i supposed to answer that without a number in centimeters)

Answer 1

π cm²

Explanation:

Circumference = 2πr

π = 2πr

r = ½

Surface area of a sphere:

4πr²

4π(½)²

4π(¼)

π

Answer 2

SA = pi cm^2

Explanation:

The circumference is given by

C = 2 * pi *r

Pi = 2 * pi *r

Divide each side by 2 pi to find the radius

pi/ 2 pi = 2 pi * r/ 2 pi

1/2 = r

We want to find the surface area

SA = 4 pi r^2

SA = 4 pi (1/2)^2

SA = 4 * pi *1/4

SA = pi