Circles
Practice arc length, sector area, and other circle theorems.
18 questions
Drill this topic- View question →
A circle has center O, and points A and B lie on the circle. The measure of arc AB is 45° and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?
Medium - View question →
Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?
Medium - View question →
A circle in the xy-plane has a diameter with endpoints (2, 4) and (2, 14). An equation of this circle is (x − 2) 2 + (y − 9) 2 = r 2 , where r is a positive constant. What is the value of r?
Medium - View question →
What is the diameter of the circle in the xy-plane with equation (x − 5) 2 + (y − 3) 2 = 16?
Medium - View question →
(x + 4) 2 + (y − 19) 2 = 121 The graph of the given equation is a circle in the xy-plane. The point (a, b) lies on the circle. Which of the following is a possible value for a ?
Medium - View question →
A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the rectangle. The area of the rectangle is 1,089√ 3 square units. What is the length, in units, of the diameter of the circle?
Hard - View question →
A circle in the xy-plane has its center at (−1, 1). Line t is tangent to this circle at the point (5, −4). Which of the following points also lies on line t ?
Hard - View question →
Jasmin draws a circle with a radius of 9x 2 . What is the area of her circle?
Medium - View question →
If the circumference of a circle triples, the area of the circle becomes
Medium - View question →
If the area of a circle is (121x)π square units, what is the circumference of the circle?
Medium - View question →
If the diameter of a circle is 8x + 6, what is the area of the circle?
Medium - View question →
If the diameter of a circle is doubled, the circumference of the new circle is
Easy - View question →
The radius of Carly’s circle is 2x – 7, and the area of her circle is (16x + 9)π. Which of the following could be the value of x?
Hard - View question →
If the area of a circle is (4x 2 + 20x + 25)π, what is the diameter of the circle?
Hard - View question →
If the central angle of a sector is x° and the radius of the circle is x units, then the area of the sector is equal to
Hard - View question →
The measure of a central angle is 18°. If the length of its intercepted arc is xπ units, what is the circumference of the circle?
Medium - View question →
If a circle has an area of 12π cm 2 and a diameter AB, what is the length of arc AB?
Hard - View question →
The circumference of a circle is 16π cm. What is the area of a sector whose central angle measures 120°?
Hard