Circle practice problems - page 13 of 49
Number of problems found: 972
- Equilateral 5140
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle.
- An equilateral
An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat?
- Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?
- Quatrefoil
Calculate the quatrefoil area, inscribed in a square with a side of 6 cm.
- Calculate 83203
Calculate the area of a circle whose radius is 9m. (in square meters)
- Inscribed 3689
There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A.
- The circle
If the radius of a circle is 3+root3, what is the area?
- Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius).
- Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
- RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26.
- Perimeter of circle
Calculate the circumference of a described circle to the triangle with sides 9,12,15 cm.
- Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm.
- On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
- Clock hands
The hands-on clock shows the time as 12 hours and 2 minutes. Three hours later, calculate the size of an acute angle between the clock hands.
- Clock's hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 50°? Consider the continuous movement of both hands for hours.
- Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve?
- Coin
How many 20-cent coins must be put in a row so that the next 20-cent coins after them (above) are rolled on its axis?
- Describes 82518
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees?
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