Question

1. Line segment AC touches the circle at a single point B. Line segment OB extends through the center of the circle.

a. What is line segment AC in reference to the circle?

b. How large is the angle B?

2. The radius of a circle is 3.5 cm.
a. What is the circumference in meters?

b. What is its area in square meters?

Answer 1

AC is a tangent to the circle

A tangent is perpendicular to the diameter of the circle, so B is 90 degrees

Radius is half the diameter, so 3.5*2 = 7m

Area = (pi)(r^2), so (pi)*3.5^2 = 38.48m^2