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Area Problems

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

6 cm
12 cm
1.5 cm
8 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Area Problems
If the radius of a circle is increased by 6%, find the percentage increase in its area.

12.36%
15%
8.39%
17%

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%

Area Problems
The perimeter of an equilateral triangle is 90 cm. Find its area.

151?3 sq cm
135?3 sq cm
250?3 sq cm
225?3 sq cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, perimeter = 90 cm? 3a = 90 cm       [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm

Area Problems
The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.

4 cm
2 cm
3 cm
1 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, area = 10 sq cm, perpendicular = 20 cm and base = ? area = (base x Perpendicular) / 2 ? 10 = (base x 20) / 2 ? base = 1 cm

Area Problems
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

75% decrease
50% increase
50% decrease
25% increase

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%

Area Problems
Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is?

4x
x
x/2
2x

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let h be the altitude of triangle.So area of triangle = (1/2)xh area of square = x2From question area of square = area of triangle x2 = (1/2)xh ? h = (2x2)/x = 2x

MORE MCQ ON Area Problems

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