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:
- A$31\ cm$
- B$25\ cm$
- C$62\ cm$
- ✓$50\ cm$
Answer: D.
View full solution →Question types
Areas Related to a Circles question types
60 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
60
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
10 Q→02True False[1 Marks ]
14 Q→032 Marks Questions
1 Q→043 Marks Question
10 Q→055 Marks Questions
25 Q→Sample Questions
Areas Related to a Circles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is :
- A$22:07$
- ✓$14:11$
- C$07:22$
- D$11:14$
Answer: B.
View full solution →If the sum of the circumferences of two circles with radii $R1$ and $R2$ is equal to the circumference of a circle of radius $R,$ then
- ✓$R1 + R2 = R.$
- B$R1 + R2 > R.$
- C$R1 + R2 < R.$
- DNothing definite can be said about the relation among $R1, R2$ and $R.$
Answer: A.
View full solution →If the circumference of a circle and the perimeter of a square are equal, then:
- AArea of the circle $=$ Area of the square.
- ✓Area of the circle $>$ Area of the square.
- CArea of the circle $<$ Area of the square.
- DNothing definite can be said about the relation between the areas of the circle and square.
Answer: B.
View full solution →It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters $16m$ and $12m$ in a locality. The radius of the new park would be:
- ✓$10m$
- B$15m$
- C$20m$
- D$24m$
Answer: A.
View full solution →Is it true that the distance travelled by a circular wheel of diameter d cm in one nrevolution is $2\pi\text{d cm}?$ Why?
View full solution →The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? Why?
If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius $2r$, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false Why?
View full solution →The areas of two sectors of two different circles are equal. Is it necessary that their corresponding arc lengths are equal? Why?
In covering a distance s metres, a circular wheel of radius r metres makes $\frac{\text{s}}{2\pi\text{r}}$ revolutions. Is this statement true? Why?
View full solution →Find the area of a sector of a circle of radius 28cm and central angle 45°.
Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii $15\ cm$ and $18\ cm$.
View full solution →All the vertices of a rhombus lie on a circle. Find the area of the rhombus$,$ if area of the circle is $1256\ cm^2. (\text{Use }\pi=3.14)$
View full solution →The wheel of a motor cycle is of radius 35cm. How many revolutions per minute must the wheel make so as to keep a speed of 66km/ h?
A piece of wire 20cm long is bent into the form of an arc of a circle subtending an angle of 60° at its centre. Find the radius of the circle.
In Fig. arcs have been drawn with radii $14\ cm$ each and with centres $P, Q$ and $R$. Find the area of the shaded region.
View full solution →A cow is tied with a rope of length 14m at the corner of a rectangular field of dimensions 20m × 16m. Find the area of the field in which the cow can graze.
A circular park is surrounded by a road $21\ m$ wide. If the radius of the park is $105\ m,$ find the area of the road.
View full solution →In Fig. $AB$ is a diameter of the circle$, AC = 6\ cm $ and $BC = 8\ cm$. Find the area of the shaded region $(\text{Use }\pi=3.14).$
View full solution →In Fig, a square of diagonal 8cm is inscribed in a circle. Find the area of the shaded region.
The area of a circular playground is $22176\ m^2$. Find the cost of fencing this ground at the rate of $Rs. 50$ per metre.
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