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Area Problems

Area Problems
What is the diameter of the circle having 3 cm radius?

6 cm
1.5 cm
12 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm

Area Problems
The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?

10
10? x ? 40
10
10 ? x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In a triangleSum of two sides is always greater than 3rd side i.e., x < 25 + 15 = 40 .....(i)Difference of two sides is always less than 3rd side i.e., 25 - 15 = 10 < x ...(ii) From Eqs. (i) and (ii) , we get 10 < x < 40

Area Problems
A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

136
146
166
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

area of the room = 544 x 374 sq.cm size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm area of 1 tile = 34x34 sq cm no. of tiles required = (544 x 374) / (34 x 34) = 176

Area Problems
The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is?

56 m
77 m
84 m
70 m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m

Area Problems
If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is?

18 cm2
19 cm2
12 cm 2
9 cm 2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2

Area Problems
The ratio of the area of the circumcircle and the incircle of a square is

?2 : 1
1 : ?2
1 : 2
2 : 1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1

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