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Area Problems

Area Problems
The area of a circle of radius 5 is numerically what percent its circumference?

450%
150%
350%
250%

ANSWER DOWNLOAD EXAMIANS APP

Area Problems
The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height.

36/7 cm
26/7 cm
46/7 cm
56/7 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given that, area = 40 sq cm, base = 28 cm and height = perpendicular = ?Area = (base x perpendicular) / 2 ? 40 = (28 x perpendicular) / 2 ? perpendicular = 40/14 = 20/7 = 26/7 cm

Area Problems
The area of a circle is increased by 22 sq cm when its radius is increased by 1 cm. Find the original radius of the circle.

3.2 cm
3 cm
6 cm
3.5 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let original radius be r.Then, according to the questions,? (r + 1)2 - ?r2 = 22? ? x [(r + 1)2 - r2] = 22? (22/7) x (r + 1 + r ) x (r + 1 - r) = 22? 2r + 1 = 7 ? 2r = 6 ? r = 6/2 = 3 cm

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

10 ? x
10? x ? 40
10
10

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
The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is?

4 : 3
? 3: 2
3 : 4
9 : 16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16

Area Problems
The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.

240 sq m
300 sq m
250 sq m
185 sq m

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let length of rectangle = 5kand breadth of rectangle = 3kAccording to the quecation,5k - 3k = 8 ? 2k =8? k = 4? Lenght = 5k = 5 x 4 = 20 mBreadth = 3k = 3 x 4 = 12 m? Required area = Lenght x Breadth = 20 x 12 = 240 sq m

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