Final Examination Study Guide

Front

What is the center and radius of the circle with equation x² + y² = 81?

Back

Center: (0, 0), Radius: 9

Front

If the equation of a circle is (x + 6)² + (y - 2)² = 36, what are the center and diameter of the circle?

Back

Center: (-6, 2), Diameter: 12

Front

What is the circumference of a circle with a diameter of 56 m?

Back

Circumference: 175.8 m

Front

A minute hand of a clock is 13.8 meters long. What is the circumference of the clock?

Back

Circumference: 86.70 meters

Front

A sector of a circle has an area of 20 cm² and a central angle of 30°. What is the radius of the circle?

Back

Radius: 9.8 cm

Front

What is the formula for the circumference of a circle?

Back

Circumference = π × diameter

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × radius

Front

How do you find the area of a circle?

Back

Area = π × radius²

Front

What is the formula for the area of a sector of a circle?

Back

Area = (θ/360) × π × radius², where θ is the central angle in degrees.

Front

What is the value of π (pi) approximately?

Back

π ≈ 3.14