Practice problems of the annulus - page 2 of 3
An annulus is a planar structure bounded by two concentric circles with different radii r1 and r2. It is a set of points whose distance from the common center S is between r1 and r2 inclusive. The area of the circle is the difference in the areas of the larger circle with radius r2 and the smaller circle with radius r1. In other words, an annulus is the intersection of circles with a common center and different radii.Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 46
- Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28cm and 44cm? The hat side length is 30cm. Add 5% of the material to the bust. Round to cm². - Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³. - Calculate 8891
Calculate the weight of a PVC pipe with an inner diameter d = 45 mm and a length l = 3 m if the wall thickness of the pipe is s = 7.5 mm. The density of PVC is ρ = 1350 kg/m³. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
- Diameter 82242
Around the circular pool with a diameter of 5.5 m is a circular wooden terrace with a width of 130 cm. What is the area size of this terrace? - Sidewalk
The city park is a circular bed of flowers with a diameter of 8 meters. Around it, the whole length is 1-meter wide sidewalk. What is the sidewalk area? - Circular flowerbed
We split the circular flowerbed with diameter 8 m by concentric circle to circle and annulus with the same area. Find the radius of the circle. - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy?
- Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm - Concentric 18343
Construct three concentric circles k, l, m with center at point S and with radii 2cm, 3cm, and 40mm - Circular lawn
Around a circular lawn area is a 2 m wide sidewalk. The outer edge of the sidewalk is a curb whose width is 2 m. The Curbstone and the inner side of the sidewalk together form concentric circles. Calculate the area of the circular lawn, and the result rou - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - 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 is cm² of fabric needed to make one collar?
- Sidewalk 6347
There is a sidewalk 70 cm wide around the circular law with a radius of 2.3 m. How many square meters does the sidewalk have? - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - Metal tube
Calculate the metal tube mass 8 dm long with the outer radius of 5cm and the inner radius of 4.5cm, and 1cm³ of this metal is 9.5g. - Circle annulus
There are two concentric circles in the figure. The chord of the larger circle, 10 cm long, is tangent to the smaller circle. What does annulus have?
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