Question 11 Mark
The number of revolutions made by a circle of radius r to cover a distance s is ____________ .
Answer
View full question & answer→$\frac{s}{2 \pi r}$
Questions
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20 questions · timed · auto-graded
Question 21 Mark
The area of the largest circle that can be drawn inside a rectangle of length a cm and breadth b cm $(a>b)$ is ____________ .
Answer
View full question & answer→$\pi b^2$
Question 31 Mark
In Fig. two circles of radii 7 cm each are shown. ABCD is a rectangle and AD and BC are the radii. The area of the shaded region is ____________ .
Answer
View full question & answer→$21 cm^2$
Question 41 Mark
In Fig. ABCD is a square of side 10 cm and a circle is inscribed in it. The area of the shaded part is ____________ .
Answer
View full question & answer→$\left(\frac{100-25 \pi}{8}\right) cm ^2$
Question 51 Mark
The difference in the areas of the regular hexagon circumscribing a circle of radius 10 cm and the regular hexagon inscribed in the circle is ____________ .
Answer
View full question & answer→$50 \sqrt{3} cm^2$
Question 61 Mark
The area of the minor segment of angle $\theta^{\circ}$ of a circle of radius r is ____________ .
Answer
View full question & answer→$\frac{\theta}{360} \times \pi r^2-r^2 \sin \frac{\theta}{2} \cos \frac{\theta}{2}$
Question 71 Mark
The length of the arc of a sector of angle $\theta^{\circ}$ of a circle of radius r is ____________ .
Answer
View full question & answer→$\frac{\theta}{360} \times 2 \pi r$
Question 81 Mark
The area of a sector of angle theta deg of a circle of radius r is ____________ .
Answer
View full question & answer→$\frac{\theta}{360^{\circ}} \pi r^2$
Question 91 Mark
If the circumferences of two circles are in the ratio $c_1: c_2$, then the ratio of their areas is ____________ .
Answer
View full question & answer→$c_1^2: c_2^2$
Question 101 Mark
If l is the arc length of a sector of a circle of radius r and A is the area of the sector, then A : l = ____________ .
Answer
View full question & answer→$r / 2$
Question 111 Mark
Two circles touch each other externally. The sum of their areas is $490 \pi cm^2$. Their centres are separated by 28 cm. The difference of their perimeters is ____________ .
Answer
View full question & answer→$28 \pi cm$
Question 121 Mark
The area of a sector whose perimeter is four times its radius 7, is ____________ .
Answer
View full question & answer→$r^2$ sq. units
Question 131 Mark
If the difference between outer and inner radii of a circular ring is 14 cm, then the difference between outer and inner circumferences, is ____________ .
Answer
View full question & answer→88 cm
Question 141 Mark
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is ____________ .
Answer
View full question & answer→28 m
Question 151 Mark
It is proposed to build a single park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be ____________ .
Answer
View full question & answer→10 m
Question 161 Mark
The area of the square that can be inscribed in a circle of radius 8 cm is ____________ .
Answer
View full question & answer→$128 cm^2$
Question 171 Mark
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is ____________ .
Answer
View full question & answer→50 cm
Question 181 Mark
The area of the circle that can be inscribed in a square of side 6 cm is ____________ .
Answer
View full question & answer→$9 \pi cm^2$
Question 191 Mark
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is ____________ .
Answer
View full question & answer→$14: 11$
Question 201 Mark
If the area of a circle is $154 cm^2$, then its perimeter is ____________ .
Answer
View full question & answer→44 cm