The area of a circular cricket ground is 24.64 hectares. Find the cost of making

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Question
The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.
Options
A. Rs. 9,600
B. Rs. 9,504
C. Rs. 9,802
D. Rs. 9,876

Correct Answer

Rs. 9,504

Area problems

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1. All sides are congruent in a _____.
Options
A. Rectangle
B. Parallelogram
C. Rhombus
D. Kite

Discuss

Correct Answer: Rhombus

2. Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?
Options
A. 18
B. 24
C. 16
D. 32

Discuss

Correct Answer: 32

3. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?
Options
A. 18?3
B. 24?3
C. 36?3
D. 42?3

Discuss

Correct Answer: 36?3

4. ABC is an isosceles right angled triangle having ?C = 90�. If D is any point on AB, then AD2+ BD2 is equal to
Options
A. CD2
B. 2CD2
C. 3CD2
D. 4CD2

Discuss

Correct Answer: 2CD2

5. An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is
Options
A. 2?3 cm
B. 3?2 cm
C. 4?3 cm
D. ?3 cm

Discuss

Correct Answer: 2?3 cm

6. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Options
A. Rs. 456
B. Rs. 458
C. Rs. 558
D. Rs. 568

Discuss

Correct Answer: Rs. 558

Explanation:

Area to be plastered= [2(l + b) x h] + (l x b)

= [2(25 + 12) x 6] + (25 x 12)

= (444 + 300)

= 744

Cost of plastering = Rs. 744 x (75/100)= Rs. 558

7. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Options
A. 55%
B. 65%
C. 75%
D. 85%

Discuss

Correct Answer: 75%

Explanation:

Let original radius = R.

New radius = $\frac{50}{100} R$ = $\frac{50}{100} R$

Original area = $\frac{R}{2}$ and new area = ${?R}^{2}$

$\frac{3 {?R}^{2}}{4} * \frac{1}{{?R}^{2}} * 100$

Decrease in area = $? {(\frac{R}{2})}^{2} = \frac{{?R}^{2}}{4}$ = 75%

8. The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?
Options
A. 6cm
B. 5cm
C. 3cm
D. 4cm

Discuss

Correct Answer: 6cm

Explanation:

A=lb

9. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm
Options
A. 12
B. 13
C. 14
D. 15

Discuss

Correct Answer: 12

Explanation:

P=4s

10. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm
Options
A. 12
B. 13
C. 14
D. 15

Discuss

Correct Answer: 12

Explanation:

P=4s

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The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.

Area problems

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