Circle practice problems - page 35 of 50
Number of problems found: 989
- Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference.
- Concentric 6751
A circle K with radius r = 8 cm is given. How big a radius must a smaller concentric circle divides a circle K into two parts with the same area?
- Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths.
- Chord 3
The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius?
- Glass of juice
The glass of juice-shaped cylinder 13 cm height and base diameter of 9 cm is filled with juice so that the level is 3 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow.
- Circular arc
Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °
- A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
- Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1].
- Construct 83195
Two line segments of different lengths are given. Construct a circle k so that both line segments are its chords.
- Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides.
- Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm.
- The cone
The cone has a base radius of 12 cm and a height of 20 cm. It was truncated at 6 cm from the base. We created a truncated cone - frustum. Find the radius of the base of the truncated cone.
- Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds?
- 6-gon
The perimeter of a regular hexagon is 154. Calculate its circumradius (radius of a circumscribed circle).
- Meridian
What is the distance (length) of the Earth's meridian 41° when the radius of the Earth is 6370 km?
- Calculate 81590
Calculate the central angle if r = 72 cm and the arc length is 12.4 cm.
- Pentadecagon
Calculate the area of a regular 15-side polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places.
- Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14
- Cross-section 32163
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool?
- Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm.
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