185k views
3 votes
What is the Radius of a circle if a 16 unit chord is 6 units from the center of the circle

User Mitya
by
4.6k points

1 Answer

5 votes

Answer:

radius = 10 units

Explanation:

using the Pythagorean theorem:

height of triangle = 6 units

base of triangle = 16/2 = 8 units

radius² = 6² + 8² = 36 + 64 = 100

radius = √100 = 10 units

User Timogavk
by
5.0k points