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ACT Circles Practice Questions
Circles questions show up frequently in the Math section of the ACT. Below are practice questions taken from our bank to help you prepare.
Starter questions
In the figure below, line l is tangent to the circle with center O at point T, and P is a point on l. What is the length of OP?
In the figure below, O is the center of the circle, which has a radius of 6 inches. Points A and B are on the circle, and the measure of angle AOB is 60°. What is the length, in inches, of minor arc AB?
More questions
A circular garden with a radius of 5 meters has a sprinkler that waters a 90-degree sector. What is the area, in square meters, of the portion of the garden watered by the sprinkler?
A construction company is building a circular fountain. The fountain's circumference is 31.4 meters. The design requires that the fountain's area be increased by 25%. What will be the new area of the fountain?
A construction company is paving a 35% sector of a circular park with a radius of 10 meters. What is the area of the paved section?
A construction company is building a circular fountain. The fountain's circumference is 31.4 meters. The design requires that the fountain's area be increased by 25%. What will be the new area of the fountain?
Hard questions
In the figure below, triangle ABC is inscribed in the circle and the area of triangle ABC is 24. What is the circumference of the circle?
In the figure below, O is the center of the circle, points A, B, and C lie on the circle, and the circle has circumference 12π. What is the area of the shaded sector?
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