Circle Measurements and Properties

The video tutorial covers various geometry problems involving circles, focusing on calculating diameter, radius, and circumference. Examples include a Ferris wheel, clock, sink drain, mining truck tires, pool fence, pizza slice, cookie, glass lens, DVD, and a shape combining a half circle and triangle. The tutorial also compares circle sizes using different units of measurement.

What is the formula to calculate the circumference of a circle?

• C = 2πr

• C = 2πd

• C = πd

• C = πr²

If the radius of a clock's minute hand is 5 inches, what is the diameter?

• 20 inches

• 15 inches

• 10 inches

• 5 inches

A sink drain has a diameter of 3.8 cm. What is its radius?

• 2.9 cm

• 7.6 cm

• 3.8 cm

• 1.9 cm

What is the circumference of a mining truck tire with a diameter of 14 feet?

• 88 feet

• 44 feet

• 28 feet

• 56 feet

If a pizza slice has a radius of 7 inches, what is the diameter?

• 7 inches

• 14 inches

• 21 inches

• 28 inches

A metal rim around a glass lens has a circumference of 190 mm. What is the approximate diameter?

• 60.5 mm

• 95 mm

• 120 mm

• 190 mm

What is the perimeter of a shape formed by a half-circle joined to an equilateral triangle with side lengths of 12 units?

• 54.84 units

• 48.84 units

• 42.84 units

• 36.84 units

Circle A has a diameter of 1 foot, and Circle B has a circumference of 1 meter. Which circle is larger?

• Both are the same size

• Cannot be determined

• Circle B

• Circle A

Convert 1 foot to meters. Approximately how many meters is it?

• 0.305 meters

• 0.914 meters

• 1.524 meters

• 2.438 meters

If the circumference of a circle is 72 inches, what is the diameter?

• 28 inches

• 26.5 inches

• 22.9 inches

• 24 inches