## Circle Tangent Internally to Another Circle

Problem
Two circles as shown below are tangent to each other at point C. If AB = 9 cm and DE = FG = 5 cm, find the area of the shaded region. Solution

## Angle between two chords

Problem
Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.

## Quadrilateral with one side as diameter of circumscribing circle

Problem PG-010
The quadrilateral ABCD shown in Fig. PG-010 is inscribed in a circle with side AD coinciding with the diameter of the circle. if sides AB, BC, and CD are 8 cm, 10 cm, and 12 cm long, respectively, find the radius of the circumscribing circle. ## The Circle

The following are short descriptions of the circle shown below.

Tangent
Tangent is a line that would pass through one point on the circle.
Secant
Secant is a line that would pass through two points on the circle.
Chord
Chord is a secant that would terminate on the circle itself.
Diameter, d
Diameter is a chord that passes through the center of the circle. 