Area and circumference of a circle Quiz 1

Question 1

From a square sheet of side $$16\,cm$$, three circles of diameter $$8\,cm$$ and a $$4\,cm	imes \,5\,cm$$ rectangle is cut. Now find the area of the remaining portion.

Accepted Answer

85.2 sqcm

Answer

87.84 sqcm

Answer

63.24 sqcm

Answer

95.2 sqcm

Question 2

Find the area of a circle whose radius is a root of the equation $${{x}^{2}}-\left( 4-\sqrt{3} \right)x-\sqrt{48}=0$$.

Accepted Answer

$$50.26$$

Answer

$$28.27$$

Answer

$$78.53$$

Answer

$$19.63$$

Question 3

A boy is riding a bicycle at a speed of $$10\,cm/s$$ which has a wheel diameter of $$40\,cm$$. How many revolutions does each wheel make in $$2\,\min $$.

Accepted Answer

$$150852$$ rev

Answer

$$226278$$ rev

Answer

$$565695$$ rev

Answer

$$157.13$$ rev

Question 4

A garden is in the shape of a ring with an outer radius of $$10m$$ and an inner radius of $$8m$$. Fertilizer is going to be purchased for the garden and each bag of fertilizer can cover $$3{{m}^{2}}$$ of area. How many bags of fertilizer should be purchased to have enough to cover the garden?

Accepted Answer

$$38$$

Answer

$$34$$

Answer

$$35$$

Answer

$$37$$

Question 5

A barrel of whiskey is being rolled up a $$100\,foot$$ ramp. The barrel has to be rolled $$30$$ times to get up the ramp. What is the diameter of the circular base of the barrel?

Accepted Answer

1.06 ft

Answer

0.96 ft

Answer

0.53 ft

Answer

0.48 ft