G.C.A.2: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

Example Problems

A sector has central angle

\frac{3\pi}{5}

and radius

3

. Find the area of the sector. Give your answer in terms of

\pi

.

A sector has central angle

\frac{\pi}{15}

and radius

20

. Find the area of the sector. Give your answer in terms of

\pi

.

A sector has central angle

\frac{16\pi}{11}

and radius

15

. Find the area of the sector. Give your answer in terms of

\pi

.

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