Mensurationhard · Past Paper
Three circles of radius 7 cm each are placed such that each touches the other two. Find the area of the region enclosed by them.
A7.86 sq. cm
B10.5 sq. cm
C49*sqrt(3) - 77 sq. cm
D14 sq. cm
✓ Correct Answer: C — 49*sqrt(3) - 77 sq. cm
Area = Area of equilateral triangle (side 14) - 3 * Area of sector (60 deg). (sqrt(3)/4)*196 - 0.5*pi*7^2 = 49*sqrt(3) - 77.
Share this question
More from Mensuration
- The total surface area of a prism whose base is a right-angled triangle is 200 sq. cm and height is 10 cm. Find the perimeter of the base if the base area is 20 sq. cm.
- The base of a prism is an equilateral triangle of side 4 cm. If its height is 10 cm, find its total surface area.
- A road roller is cylindrical in shape. If its diameter is 1 m and length 1.4 m, what is the area it covers in 500 revolutions?
- A cylinder has height 7 cm and radius 5 cm. Find its total surface area.
- What is the area of a sheet needed to make an open cylinder (no top) with radius 'r' and height 'h'?