Question

Two sidewalks are tangent to a circular park centered at P as shown. i need help with 13 a and b

Answer 1

13. a) Since AC and AB are tangents to the circle, we know that two tangents that meet at an external point are equal.
Hence, AB = AC; so, AB = 40 ft.

13. b) (20 + r)² = 40² + r²
400 + 40r + r² = 1600 + r²
40r = 1200
r = 30

Hence, the diameter is 60 ft.