Circle practice problems - page 2 of 51
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest distance across the circle and is also twice the length of the radius. The formula for the diameter of a circle is d = 2 * r, where d is the diameter and r is the radius. The diameter of a circle is an important measurement in geometry and is used in many mathematical formulas, such as the formula for the circumference of a circle (C = πd)Number of problems found: 1002
- Central angle 2
What is the arc length of a circle with a radius of 12 cm and a central angle of 255 degrees? A. 8.5 cm B. 12π cm C. 24π cm D. 17π cm - Largest circle
If the largest possible circle is cut from an 8 cm × 4 cm rectangle, what is the area in cm² of the remaining portion? - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Circular pizza
A circular pizza has a radius of 6 inches. What is the approximate circumference of the pizza? (Use π = 3.14) - A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - Circular garden 2
What is the area of the circular garden if the diameter of the circular garden is 4 meters? - Four plates
Four equal maximum-sized circular plates are cut from a square sheet of paper with an area of 784 cm². Calculate the circumference of each plate. - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle with side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - Two chords 2
The length of one of two chords of a circle is 12 cm. If the chords are 6 cm and 7 cm away from the center of the circle, calculate the length of the second chord. - Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. - The minute
The minute hand of a clock is 6 cm long. Find the area it sweeps between 2:05 PM and 2:40 PM. - Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - Two chords 6
A chord PQ is 10.4 cm long, and its distance from the center of a circle is 3.7 cm. Calculate the length of a second chord RS, which is 4.1 cm from the center of this circle. - Geometric Solid
A concrete pipe is 1.0 m long. The inside and outside diameters are 60 cm and 75 cm, respectively. What is the volume of the concrete (in cubic meters) needed to make 25 pieces of pipe? - A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the centre of the circle. - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - The diameter
The diameter of a circle is 4 feet. What is the circle's circumference? - Circle
What is the radius of the circle whose perimeter is 11 km? - Calculate
Calculate the area of a circle whose radius is 5 dm. - Circle area
Calculate the circle area with a radius of 1.2 m.
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