# Circle - 7th grade (12y) - math problems

#### Number of problems found: 192

• Semicircle The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds.
• Rewrite Rewrite the following as division statement  if there are 8 cakes and each person get 1/12 of a cake how many people get cake?
• Pumpkin pie Have some pumpkin pie. One half of the pie is cut into 4 equal slices, the other half is cut into 3 equal slices. After eating one of the larger slices (on the 3 piece side), I wonder if I will eat more if I have one more from the 3 side, or two from the
• Minute hand What is the distance the minute hand of the clock travels in 12 minutes, if the diameter of the clock is 30 cm and the hand extends to a distance of 2 cm from the edge of the clock?
• The collar The collar on the dress has the shape of an annulus 6 cm wide. The circumference of the inner circle is 31.4 cm. How much cm2 of fabric is needed to make one collar?
• I need I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm3. What is the formula for this?
• Largest possible cone It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, 7.2 cm. a) Calculate its volume. b) Calculate the waste.
• What is What is the height of a cylinder whose surface size is 602.88 cm2 and the content of its shell is 376.8 cm2?
• A bicycle A bicycle wheel has a diameter of 63 cm. Calculate how many times the wheel turns round in travelling 19.8 km .
• A bug A bug was sitting on the tip of a wind turbine blade that was 24 inches long when it started to rotate. The bug held on for 5 rotations before flying away. How far did the bug travel before it flew off? Exact answer.
• Round skirt The cut on the round skirt has the shape of an annulus. Determine how much m² of fabric will be consumed on an 80 cm long skirt. The circumference of the waist is a circle with a smaller radius and is 69 cm.
• The central The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.
• Tractor wheels The front wheel of the tractor has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
• Running The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit.
• The equator Calculate the length of the equator. Calculate a radius of 6378 km. Round to the nearest thousand. - Procedure and calculation
• Trapezoid - construction Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45°
• Sandbox How much cubic meters of sand is needed to fill the sandbox on the field if it has the shape of a circle with a diameter of 3 m and is 25 cm deep?
• Round table A tablecloth should be sewn on a round table with a diameter of 78 cm, which should extend around the table by 10 cm. How many cms of ribbons need to be bought for edging?
• Surface and volume Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm
• Cylindrical tank 9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?

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Circle Problems. Examples for 7th grade (seventh).