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Area Problems

Area Problems
If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

4%
9%
6%
5%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

According to the formula,Percentage increase in diagonals = 5%

Area Problems
The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is?

148 sq. cm
259 sq. cm
154 sq. cm
111 sq. cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? 2?r - r = 37? [(2 x 22/7) -1]r= 37? 37r / 7= 37? r = 7 So, area of the circle =(22/7) x 7 x 7 cm2= 154 cm2

Area Problems
If each side of a square is increased by 25%, find the percentage change in its area.

56.25%
36.25%
16.25%
12.25%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let each side of the square be a. Then, area = . a 2 New side = 125 a 100 = 5 a 4 . New area =  5 a 4 2  =  25 a 2 16   Increase in area =  25 a 2 16 - a 2 = 9 a 2 16 Increase% =  9 a 2 16 * 1 a 2 * 100  % = 56.25%.

Area Problems
The diameter of a wheel is 63 cms. Distance travelled by the wheel in 100 revolutions is?

136 meters
63 meters
198 meters
99 meters

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Distance travelled in 1 revolution = circumference of the wheel = ?d= ( 22/7 ) x 63= 198 cmSo the distance travelled in 100 revolutions = 100 x distance travelled in 1 revolution = 100 x 198 cm= 19800 cm = 198 m

Area Problems
Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is

1.5 m2
0.375 m2
1.5 m2
0.75 m2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2

Area Problems
The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle?

265 sq cm
255 sq cm
245 sq cm
235 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm

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