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.
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: 971
- 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. - Concentric circles 4
One circle has a radius of 98 cm, and a second concentric circle has a 1m 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 area?
- 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| - Circle inscribed square
What is the area of the circle that can be inscribed in a square of 10 cm? - Pizza diameter
If an 18-inch pizza costs $16.99 and is cut into 12 slices, what is the cost per square inch? - Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle. - 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? - At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand? - Largest circle
If the largest possible circle is cut off from a 8 cm × 4 cm rectangle, what is the area in sq cm of the remaining portion? - Hands of a clock
At what time between 11 and 12 O'clock will the hands of a clock be at an angle of 180°? - Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is
- 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 of diameter 21 m. Find the length of the 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 meter.
- 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. - 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. - 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.
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