Circle and It's Parts

Q. A circle has a diameter of 42 cm. What would be its circumference ?

1. 120 cm
2. 210 cm
3. 100 cm
4. 132 cm

Q.

If the radius of a circle gets doubled, its diameter gets

1. doubled

2. Remains same

3. tripled

4. halved

Q.

A circle has radius 2 cm. What is the length of its longest chord?

1. 16 cm

2. 5 cm

3. 2 cm

4. 4 cm

Q.

Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the area of a circle with twice the radius.

The combined area of two circles with the same radius is __________ ${\mathrm{\pi r}}^2$.

The area of a circle with twice the radius is __________${\mathrm{\pi r}}^2$ .

The combined area of two circles is ______ as the area of a circle with twice the radius.

Q.

Number of radii in a circle with equal length are ____.

1. 0

2. 2

3. infinite

4. 4

Q.

Is it possible for the same:

• angle to have two different measures?

Q.

In a circle with radius $13cm$, two equal chords are at a distance of $5cm$ from the centre. Find the length of chords.

Q. $\mathrm{In}\mathrm{the}\mathrm{given}\mathrm{figure},A,B\mathrm{and}C\mathrm{are}\mathrm{three}\mathrm{points}\mathrm{on}a\mathrm{circle}\mathrm{with}\mathrm{centre}O\mathrm{such}\mathrm{that}\angle \mathrm{BOC}=30°\mathrm{and}\angle \mathrm{AOB}=60°.\mathrm{If}D\mathrm{is}a\mathrm{point}\mathrm{on}\mathrm{the}\mathrm{circle}\mathrm{other}\mathrm{than}\mathrm{the}\mathrm{arc}\mathrm{ABC},\mathrm{find}\angle \mathrm{ADC}.$



$\left[1\right]$

1. $60°$
2. $45°$
3. $90°$
4. $30°$

Q.

If AB is a chord which passes through the centre O of a circle, then what is AB known as?

1. Diameter of the circle

2. Radius of the circle

3. Sector of the circle

4. Segment of the circle

Q.

A sector with a central angle greater than ${180}^{\circ }$ is called a ____ of the circle.

1. minor sector

2. segment
3. chord

4. major sector

Q. A diameter is the longest chord in a circle.

1. False
2. True

Q.

Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm and 7 cm. Find the radii of the circles.

1. 2 cm, 3 cm, 4 cm

2. 3 cm, 4 cm, 1 cm

3. 1 cm, 2.5 cm, 3.5 cm

4. 1 cm, 2 cm, 4 cm

Q.

The circumference of a circle of radius $r$ is given by ___.

1. $\pi r$

2. $2\pi r$

3. $4\pi r$

4. $\frac{\pi r}{2}$

Q.

Angle in a minor segment is

1. A Right Angle

2. An Acute Angle

3. An Obtuse Angle

4. A Reflexive Angle

Q. A segment of a circle is the region bounded by a and the arc subtended by it.

1. radius
2. chord
3. tangent

Q. How long is the longest chord in a circle of radius 2006 mm?

1. 2014 mm
2. 4012 mm
3. 2048 mm
4. 6002 mm

Q.

From the adjoining figure, identify : Chords

Q.

If the radius of a circle is doubled, then the area ___.

1. gets doubled

2. gets quadrupled

3. remains the same

4. becomes half