Circle practice problems
A circle is a geometric shape that consists of all points that are a fixed distance, called the radius, away from a central point called the center. The distance around the circle is called the circumference and the region enclosed by the circle is called the area of the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant, the Ludolph number, approximately equal to 3.1415926.The formula for the area of a circle is A = πr2, where A is the area and r is the radius.
Number of problems found: 1002
- Blue region
Find the area of the blue region shown in the picture. - Circle's diameter
The diameter of a circle is 32 inches. What is the circle's area? Use π(pi) ≈ 3.14 and round your answer to the nearest hundredth. - At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand? - Concentric circles 4
One circle has a radius of 98 cm, and a second concentric circle has a 1 m 26 cm radius. How much longer is the circumference of the second circle than that of the first? - 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 - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - 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. - Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Two circles 3
Two circles are inscribed in a square with a side of 4 cm. Find the radius of the smaller circle. - 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? - Grassland and goat
An unfenced piece of grassland is a right triangle ABC with AB = 4 m, BC = 8 m, and AC as the hypotenuse. A goat is tied to a 5-metre rope with its stake at point O, which is 2 m from side AB and 2 m from the extension of side BC beyond corner B. Then: 1. - 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 gardener
A gardener wants to fence a circular garden with a diameter of 21 m. Find the length of rope he needs to purchase if he makes 2 rounds of fence. Also find the cost of the rope if it costs $0.40 per metre. - 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. - Garden hose
Miguel wound a garden hose around a circular real. If the diameter of the real is 10 inches, how many inches of hose was wound on the first full turn of the real round? The answer to the nearest whole inch, use 3.14 for pi.
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