Circle Geometry Quiz Review

If the radius of a circle is 10 yards and the central angle is 90 degrees, what is the length of the arc?

• A) 15.7 yards

• B) 7.9 yards

• C) 31.4 yards

• D) 5.5 yards

What is the area of a sector with a radius of 12 km and a central angle of 270 degrees?

• A) 339.3 square km

• B) 254.5 square km

• C) 282.7 square km

• D) 148.5 square km

Find the area of a sector with a radius of 9 cm and a central angle of 210 degrees.

• A) 148.5 square cm

• B) 99.5 square cm

• C) 132.7 square cm

• D) 110.5 square cm

If a circle has a central angle of 55 degrees, what is the measure of the arc?

• A) 55 degrees

• B) 110 degrees

• C) 180 degrees

• D) 360 degrees

Find the length of the arc with a radius of 7 miles and a central angle of 60°.

• 7π miles

• 7π/3 miles

• 7π/6 miles

• 7π/12 miles

Find the area of the sector with a radius of 11 yards and a central angle of 315°.

• 153.9 square yards

• 140.5 square yards

• 125.4 square yards

• 332.6 square yards

Find the area of a circle with a radius of 7 yards.

• 153.9 yd²

• 140 yd²

• 160 yd²

• 145 yd²

Find the area of a circle with a radius of 14.6 kilometers.

• 670 km²

• 167.4 km²

• 160 km²

• 170 km²

What is the circumference of a circle with a radius of 12 yards?

• 75.4 yd

• 70 yd

• 80 yd

• 65 yd

• 25.12 feet

• 12.56 feet

• 16 feet

• 50.24 feet

Answer explanation

Answer Explanation highlighting the correct choice: The circumference of a circle is calculated using the formula C = πd. Substituting d = 8 feet, C = 3.14 * 8 = 25.12 feet, which matches the correct answer choice.