Pythagorean Problems & Circle Measures for Grade 6

A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. How long is the ladder?

• 10 feet

• 14 feet

• 12 feet

• 8 feet

A circular garden has a radius of 5 meters. What is the circumference of the garden? (Use π ≈ 3.14)

• 25.0 meters

• 40.0 meters

• 31.4 meters

• 15.7 meters

A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?

• 17 cm

• 13 cm

• 10 cm

• 15 cm

A circular swimming pool has a diameter of 10 feet. What is the area of the pool? (Use π ≈ 3.14)

• 50 square feet

• 78.5 square feet

• 100 square feet

• 31.4 square feet

A rectangular park has a length of 20 meters and a width of 15 meters. What is the diagonal distance across the park?

• 30 meters

• 20 meters

• 25 meters

• 15 meters

A pizza has a radius of 8 inches. What is the area of the pizza? (Use π ≈ 3.14)

• 150.72 square inches

• 200.96 square inches

• 100.48 square inches

• 250.24 square inches

A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. What is the length of the other leg?

• 10 cm

• 8 cm

• 6 cm

• 12 cm

A circular track has a circumference of 62.8 meters. What is the radius of the track? (Use π ≈ 3.14)

• 10 meters

• 20 meters

• 15 meters

• 5 meters

A right triangle has legs measuring 7 cm and 24 cm. What is the length of the hypotenuse?

• 25 cm

• 26 cm

• 20 cm

• 30 cm

A circular fountain has a radius of 3 meters. What is the circumference of the fountain? (Use π ≈ 3.14)

• 18.84 meters

• 12.56 meters

• 25.12 meters

• 9.42 meters