9.5 Solve Geometry Applications: Circles and Irregular Figures

Before you get started, take this readiness quiz.

Evaluate $x^{2}$ when $x = 5 .$
If you missed this problem, review the reference.

Using $3.14$ for $\pi ,$ approximate the (a) circumference and (b) the area of a circle with radius $8$ inches.
If you missed this problem, review the reference.

Simplify $\frac{22}{7} \left(0.25\right)^{2}$ and round to the nearest thousandth.
If you missed this problem, review the reference.

A circular mirror has radius of $5$ inches. Find the ⓐ circumference and ⓑ area of the mirror.

A circular spa has radius of $4.5$ feet. Find the ⓐ circumference and ⓑ area of the spa.

Find the circumference of a circular fire pit whose diameter is $5.5$ feet.

If the diameter of a circular trampoline is $12$ feet, what is its circumference?

Find the diameter of a circle with circumference of $94.2$ centimeters.

Find the diameter of a circle with circumference of $345.4$ feet.

Solve using the properties of circles.

The lid of a paint bucket is a circle with radius $7$ inches. Find the ⓐ circumference and ⓑ area of the lid.

Solve using the properties of circles.

A farm sprinkler spreads water in a circle with radius of $8.5$ feet. Find the ⓐ circumference and ⓑ area of the watered circle.

Solve using the properties of circles.

A reflecting pool is in the shape of a circle with diameter of $20$ feet. What is the circumference of the pool?

Solve using the properties of circles.

A circular saw has a diameter of $12$ inches. What is the circumference of the saw?

Solve using the properties of circles.

A barbecue grill is a circle with a diameter of $2.2$ feet. What is the circumference of the grill?

Solve using the properties of circles.

A circle has a circumference of $163.28$ inches. Find the diameter.

Solve using the properties of circles.

A circle has a circumference of $17.27$ meters. Find the diameter.

Find the radius of the circle with given circumference.

A circle has a circumference of $150.72$ feet.

Find the radius of the circle with given circumference.

A circle has a circumference of $40.82$ miles.