Question
A circle has a radius of 21 cm and the area of its
sector is 308 cm². Find the angle subtended by the arc at the center of the circle. (Use π = 22/7)Solution
Area of sector = (A/360) X π X radius2, where 'A' is the angle subtended by arc at the centre So, (A/360) X (22/7) X 212 = 308 Or, (A/360) X 1,386 = 308 Or, 'A' = 80
If the length of the diagonal of a square is 4.6 cm, then the area of the square is:
A solid right circular cylinder is melted and shaped into a right cone with a base of equal radius. By what percent is the length of the solid increased?
The length is decreased by 18%, the breadth is decreased by 12% and the height is increased by 50%. Calculate the percentage change in the volume of the...
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ ...
- The total surface area of a cylinder is 6,600 cm² and its radius is 25 cm. If the height is (k + 10), then calculate k². (Use π = 22/7)
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 972Ï€ cm3 inside it. Â
A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. F...
If the diameter of a solid hemisphere is 12 cm, then its volume is taken π =22/7
