Quiz about Solving Problems Involving Circles

Question 1

Find the area of these semicircles. $$\left(use\ \pi=\frac{22}{7}\right)$$

Accepted Answer

3.54 $$cm^2$$

Answer

7.07 $$cm^2$$

Answer

14.14 $$cm^2$$

Answer

1.77 $$cm^2$$

Question 2

Find the perimeter of these semicircle. $$\left(use\ \pi=3.142\right)$$

Accepted Answer

10.284 cm

Answer

29.136 cm

Answer

7.142 cm

Answer

16.568 cm

Question 3

Find the area of the following shape. $$\left(use\ \pi=\frac{22}{7}\right)$$

Accepted Answer

38.5 $$cm^2$$

Answer

5.5 $$cm$$

Answer

11 $$cm$$

Answer

9.625 $$cm^2$$

Question 4

Find the shaded area of the following shape. $$\left(use\ \pi=\frac{22}{7}\right)$$

Accepted Answer

25.93 $$cm^2$$

Answer

103.71 $$cm^2$$

Answer

9.43 $$cm^2$$

Answer

141.43 $$cm^2$$

Question 5

In the equation for a circle, (x-h)²+(y-k)²= r², what part of the circle do the h, k and r represent?

Accepted Answer

r is the radius, h and k represent the center

Answer

r is the hypotenuse, h and k are points on the circle

Answer

r is the radius, h and k are points on the circle

Answer

r is the roundness, h and k represent the center

Question 6

The equation of a circle is derived from

Accepted Answer

distance formula

Answer

gradient-intercept forumla

Answer

point-slop form

Answer

quadratic equation

Question 7

Find the circumference of these circle. $$\left(use\ \pi=\frac{22}{7}\right)$$

Accepted Answer

28.29 $$cm$$

Answer

63.64 $$cm$$

Answer

56.57 $$cm$$

Question 8

Find the shaded area of the following shape. $$\left(use\ \pi=3.142\right)$$

Accepted Answer

21.45 $$cm^2$$

Answer

68.58 $$cm^2$$

Answer

214.2 $$cm^2$$

Question 9

The diagram shows a dining hall measuring 10m long and 8m wide. It is laid with nine circular carpets, each has a diameter of 200cm. Calculate the area that is not covered by the carpet in $$m^2$$ . $$\left(use\ \pi=3.142\right)$$

Accepted Answer

51.722 $$m^2$$

Answer

33.112 $$m^2$$

Answer

67.432 $$m^2$$

Answer

76.858 $$m^2$$

Question 10

The figure shows two circles. The bigger circle has its centred at O and a radius of 16cm. The smaller circle passes through O and touches the bigger circle. Calculate the area of the shaded region. $$\left(use\ \pi=\frac{22}{7}\right)$$

Accepted Answer

603.43 $$cm^2$$

Answer

754.29 $$cm^2$$

Answer

50.286 $$cm^2$$

Question 11

The diagram shows the quadrant OPQ centred at O. ORST is a square. Given OP=10 cm and OR=7 cm. Calculate the area of the shaded region, in $$cm^2$$ . $$\left(use\ \pi=3.142\right)$$

Accepted Answer

29.55 $$cm^2$$

Answer

35.71 $$cm$$

Answer

27.979 $$cm^2$$

Answer

108.1 $$cm^2$$

Question 12

What is the approximate area of the logo?

Accepted Answer

32 cm2

Answer

46 cm2

Answer

71 cm2

Answer

85 cm2

Solving Problems Involving Circles

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