MEDIUM
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A wire is bent to form a square of area \(169 \mathrm{~cm}^{2}\). If the same wire is bent to form a circle, then what is its area (in \(\mathrm{cm}^{2}\), to the nearest whole number)?
Take \(\pi=\frac{22}{7}\)

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Important Questions on Geometry

EASY
The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in cm2).
EASY
If the perimeter of a semi-circle is 144 cm, find its radius (in cm).
EASY
The area of a semicircle is 77cm2. Calculate its perimeter in cm.
EASY
What is the area (in cm2) of a square having perimeter 84 cm?
EASY
The radius of a circular field is 31.5 metres. What is the circumference?
EASY
The curved surface area and the diameter of a right circular cylinder are 660 cm2 and 21 cm. respectively. Find its height (in cm).
HARD
A sphere is divided in 2 : 3. Big portion moulded into a cone of which base radius is equal to its height. While small portion moulded into a cylinder of which height is equal to base radius. Find the ratio of Base radius of cone and height of cylinder. 
HARD
In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of 5 cm. If the level of water in the pan increases from 10 cm to 17 cm, then what is the volume of the stone? 
EASY

The perimeter and the breadth of a rectangle are 52 cm and 12 cm respectively. Find its area in cm2.

EASY
Find the curved surface area (in cm2 ) of right circular cylinder of diameter 21 cm and height 10 cm.
MEDIUM
A spherical ball of a lead of the radius 14 cm is melted and recast into spheres of the radius 2 cm.The number of small spheres is:
EASY
The area of a square field is 196sq.m. What would be the length of the rope required to fence the field from any three sides?
MEDIUM
The length of each equal side of an isosceles triangle is 10 cm and the included angle between those two sides is 45°.Find the area of the triangle.
EASY
Find the total surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
EASY

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball. 

(A) 2 cm

(B) 3 cm 

(C) 4 cm 

(D) 5 cm 

MEDIUM

The three sides of a triangle are 15 cm, 36 cm, and 39 cm long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ cm2  

MEDIUM

The length and breadth of a rectangular sheet are 48 m and 36 m respectively. A square is cut off from each of its corners, so that an open box be made. If the side of square be 16m, what will be the volume of the box so formed (in cubic m)? 

(A) 1,024 

(B) 1,224 

(C) 1,324 

(D) 1,124 

EASY
The curved surface area and the height of a right circular cylinder are 660 cm2 and 10 cm respectively. Find its diameter (in cm).
MEDIUM
The length of a rectangular field is increased by 20% and its breadth is decreased by 20%. What is the per cent increase or decrease in its area?
EASY

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What is the area of this trapezoidal garden (All measurements are in cm)? 

1. 60 sq.cm
2. 180 sq.cm
3. 210 sq.cm 
4. 240 sq.cm