Question

Can someone help me?

Answer 1

Answer:

1.6in

Step-by-step explanation:

We could find the length of the radius of the small circle using pythagorean theorem. There is a right triangle formed from the picture above. Pythagorean theorem states the sum of the squares of the perpendicular sides on the right triangle is equal to the square of its hypotenuse.

(8 - r)² + 20² = 21²

(8 - r)² + 400 = 441

(8 - r)² = 441 - 400

(8 - r)² = 41

8 - r = √41

r = 8 - √41

r = 8 - 6.403

r = 1.597

to the nearest tenth

r ≈ 1.6