Question 11 Mark
Answer
View full question & answer→$80.375 cm^2$
Questions
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23 questions · timed · auto-graded
Question 21 Mark
Find the length of the arc of a circle which subtends an angle of $60^{\circ}$ at the centre of the circle of radius 42 cm.
Answer
View full question & answer→44 cm
Question 31 Mark
A piece of wire 22 cm long is bent into the form of an arc of a circle subtending an angle of $60^{\circ}$ at its centre. Find the radius of the circle. (Use $\pi=22/7$)
Answer
View full question & answer→21 cm
Question 41 Mark
Find the area of the largest triangle that can be inscribed in a semi-circle of radius r units.
Answer
View full question & answer→$r^2$
Question 51 Mark
If the diameter of a semi-circular protractor is 14 cm, then find its perimeter.
Answer
View full question & answer→36 cm
Question 61 Mark
Find the ratio of the area of the circle circumscribing a square to the area of the circle inscribed in the square.
Answer
View full question & answer→$2: 1$
Question 71 Mark
How many revolutions a circular wheel of radius r metres makes in covering a distance of s metres?
Answer
View full question & answer→$\frac{\pi b^2}{4}$
Question 81 Mark
If the numerical value of the area of a circle is equal to the numerical value of its circumference, tind its radius.
Answer
View full question & answer→2 units
Question 91 Mark
Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?
Answer
View full question & answer→No; it is only true for minor segment.
Question 101 Mark
What is the area of a square inscribed in a circle of diameter p cm?
Answer
View full question & answer→$\frac{p^2}{2} cm^2$
Question 111 Mark
Find the area of a sector of circle of radius 21 cm and central angle $120^{\circ}$.
Answer
View full question & answer→$462 cm^2$
Question 121 Mark
An arc subtends an angle of $90^{\circ}$ at the centre of the circle of radius 14 cm. Write the area of minor sector thus formed in terms of $\pi$.
Answer
View full question & answer→$49 \pi cm^2$
Question 131 Mark
If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector?
(Take $\pi=22/7$)
(Take $\pi=22/7$)
Answer
View full question & answer→32 cm
Question 141 Mark
Write the formula for the area of a segment in a circle a circle of radius r given that the sector angle is $\theta$ (in degrees).
Answer
View full question & answer→$\left(\frac{\pi \theta}{360}-\sin \frac{\theta}{2} \cos \frac{\theta}{2}\right) r^2$
Question 151 Mark
Write the formula for the area of a sector of angle $\theta$ (in degrees) of a circle of radius r.
Answer
View full question & answer→$\frac{\theta}{360} \times \pi r^2$
Question 161 Mark
If a square is inscribed in a circle, what is the ratio of the areas of the circle and the square?
Answer
View full question & answer→$\pi: 2$
Question 171 Mark
In a circle of radius 10 cm, an arc subtends an angle of 108 deg at the centre. What is the area of the sector in terms of $\pi$?
Answer
View full question & answer→$\pi cm ^2$
Question 181 Mark
What is the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm?
Answer
View full question & answer→$8.75 cm^2$
Question 191 Mark
What is the angle subtended at the centre of a circle of radius 6 cm by an arc of length 3 $\pi$ cm?
Answer
View full question & answer→$90^{\circ}$
Question 201 Mark
What is the length (in terms of $\pi$) of the arc that subtends an angle of $36^{\circ}$ at the centre of a circle of radius 5 cm?
Answer
View full question & answer→$\pi$ cm
Question 211 Mark
Write the area of the sector of a circle whose radius is r and length of the arc is l.
Answer
View full question & answer→$\frac{1}{2} lr$
Question 221 Mark
If the circumference of two circles are in the ratio 2 : 3, what is the ratio of their areas?
Answer
View full question & answer→$4: 9$
Question 231 Mark
What is the ratio of the areas of a circle and an equilateral triangle whose diameter and a side are respectively equal?
Answer
View full question & answer→$4 \pi: \sqrt{3}$