Circle Geometry Concepts

The video tutorial reviews circle concepts in preparation for a quiz. It covers the parts of a circle, including diameter, radius, and chord, and explains how to calculate the circumference and area of a circle. The tutorial also demonstrates how to find the diameter and radius from a given circumference and how to calculate the shaded area in composite shapes involving circles and squares.

What is the term for a line segment that passes through the center of a circle and connects two points on the circle?

• Chord

• Tangent

• Diameter

• Radius

If the radius of a circle is 5 cm, what is the diameter?

• 5 cm

• 10 cm

• 15 cm

• 20 cm

Which formula is used to calculate the circumference of a circle?

• d/2

• 2πr

• πd

• πr²

A circle has a radius of 7 cm. What is its circumference using π ≈ 3.14?

• 28 cm

• 14 cm

• 43.96 cm

• 21.98 cm

What is the formula for the area of a circle?

• πr²

• 2πr

• d²

• πd

If a circle has a diameter of 10 cm, what is its area using π ≈ 3.14?

• 31.4 cm²

• 78.5 cm²

• 50 cm²

• 100 cm²

Given a circumference of 31.4 cm, what is the diameter of the circle using π ≈ 3.14?

• 5 cm

• 20 cm

• 10 cm

• 15 cm

If the circumference of a circle is 62.8 cm, what is the radius?

• 20 cm

• 15 cm

• 10 cm

• 5 cm

In a problem involving a square and a circle, if the side of the square is 10 cm, what is the area of the square?

• 150 cm²

• 100 cm²

• 50 cm²

• 200 cm²

If a circle is inscribed in a square with a side length of 10 cm, what is the radius of the circle?

• 2.5 cm

• 5 cm

• 7.5 cm

• 10 cm