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2 D Mensuration || 26.8.2020

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Question 1

If the circumference of a circle is decreased by 50%; then the percentage of decrease in its area is:

Question 2

A path of uniform width surrounds a circular park. The difference of internal and external circumferences of this circular path is 132 m. Its width is (π =22/7): 

Question 3

If the difference between area of the circumcircle and the incircle of an equilateral triangle is 115.5 cm2. Then, find the altitude of the triangle:

Question 4

The breadth of a rectangular hall is one-sixth of its length. If the area of the floor is 864 m2, then find the difference between its area and its perimeter.

Question 5

In a right angled triangle ABC, angle B = 90 °, AB = 42 cm and BC = 56 cm. A quarter circle is drawn with BC as diameter. Find the difference between area of quarter circle and semi-circumcircle of the triangle.

Question 6

The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 64π sq cm?

Question 7

A 15 cm long wire is bent to form a triangle whose one of the angles is one third of 180°. Find the sides of the triangle with the largest area. 

Question 8

In the given figure ABCD is a square. Four equal semicircles are drawn in such a way that they meet each other at 'O'. Sides AB, BC, CD and AD are the respective diameter of the four semicircles. Each of the side of the square is 8 cm. Find the area of region of four leaves.

Question 9

A room is 16m long, 7m broad and 8m high. Find the cost of white washing the four walls of room at 9.5 per m2 . White washing is not to be done on windows and doors, which occupy 65 m2 .

Question 10

What is the area (in sq cm) of an equilateral triangle of side 14 cm?
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