Circle - practice for 13 year olds
Number of problems found: 563
- Blue region
Find the area of the blue region shown in the picture. - At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand? - The radius 2
The radius of a circle is increased by 5%. What is the percentage increase in their circumference and area? - Hands of a clock
At what time between 11 and 12 o'clock will the hands of a clock form an angle of 180°? - Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti - A rope for cow
Find the length of rope by which a cow must be tethered so that it can graze an area of 154 m². - Pizza diameter
If an 18-inch pizza costs $16.99 and is cut into 12 slices, what is the cost per square inch? - Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - Merly
Merly prepared the table for lunch. She put a place mat that measures 5 dm long and 3 dm wide; she placed a plate on it with a diameter of 3 dm. How many mats can be seen on the table? - Angle over circle
In the figure, O is the centre of the circle and AB is tangent to the circle at B. If angle OAB is 28°, find angle AOB. The figure is not to scale. - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - A circular track
The inner circumference of a circular track is 220 m, and the width of the track is 7 m. Calculate the cost of putting up a fence along the outer circle at the rate of 50 USD/m. - 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 - 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. - 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
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