Inscribed Circles (Handout J)

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where C is the circumference and r is the radius.

Front

If the radius of a circle is 10 feet, what is the circumference?

Back

C = 2π(10) = 62.8 feet (using π ≈ 3.14).

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius (D = 2r).

Front

How do you find the radius if you know the circumference?

Back

r = C / (2π).

Front

What is the value of π (pi) used in calculations?

Back

π is approximately 3.14.

Front

If a circular garden has a circumference of 31.4 feet, what is its radius?

Back

r = 31.4 / (2π) = 5 feet.

Front

What is an inscribed circle?

Back

An inscribed circle is a circle that is contained within a polygon and touches all its sides.

Front

How do you calculate the area of a circle?

Back

A = πr², where A is the area and r is the radius.

Front

If the radius of a circle is 5 inches, what is the area?

Back

A = π(5)² = 78.5 square inches (using π ≈ 3.14).

Front

What is the diameter of a circle with a radius of 7 cm?

Back

D = 2r = 2(7) = 14 cm.