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# AFCAT Revision Quiz || Elementary Mathematics || 2 D Mensuration

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Question 1

A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always 10 m and the distance between the flag-posts is 8 m. The area of the path he encloses is

Question 2

A rectangle of length 10 units and breadth 8 units is split into two squares each of area x square units and two rectangles each of area y square units. Consider the following statements:

## Which of the above statements is/are correct?

Question 3

Each side of an equilateral triangle is 6 cm. Its altitude is

Question 4

Ram running on the outer boundary of a rectangular park. If the total distance covered by him in one revolution is 216 m. Find the width of the park if the length is 27 m.

Question 5

An umbrella has 8 ribs which are equally spaced (as shown in figure). Assuming to be a flat circle of radius 42 cm, find the area between the two consecutive ribs of the umbrella. Question 6

Find the area of a right-angled triangle, if the radius of its circumcircle is 6.5 cm and the altitude drawn to the hypotenuse is 5 cm long.

Question 7

What is the ratio of the inradius and circumradius of a square of side 10 cm?

Question 8

The length of a room floor exceeds its breadth by 32 m. The area of the floor remains unaltered when the length is decreased by 16 m but the breadth is increased by 8 m. The area of the floor (in square metres) is :

Question 9

The altitude drawn to the base of an isosceles triangle is 9 cm, and its perimeter is 81 cm. The area (in cm²) of the triangle is

Question 10

A circular wire of diameter 70 cm is folded in the shape of a rectangle whose sides are in the ratio 6:5. Find the area enclosed by the rectangle. (Take π = )
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