Major Arc, Minor Arc and Semicircular Arc

Q.

The diameter divides the circle into two equal parts, each part is ____.

1. Semi-circle

2. Circle

3. Radius

4. Circumference

Q. The diameter gives rise to two equal arcs. They are called as _________.

1. Minor arc
2. Semicircular arcs
3. Major arc
4. Radius

Q.

The angle between the lines is $x^2-xy-6y^2-7x+31y-18=0$

1. $45°$

2. $60°$

3. $90°$

4. $30°$

Q.

The magnitude of an angle is expressed in __.

Q.

On a circle of radius $10$ feet, what angle would subtend an arc of length $3$ feet?

Q.

Two circles of unequal radius can intersect at maximum how many points. If the radius is equal then how many points ????

Q. If the central angle of a circle is greater than ${180}^{\circ }$ then it is a measure of _____

1. Minor arc
2. Semicircular arc
3. Minor sector
4. Major arc

Q.

If $r=7cm$ and $\theta =60°$, then find the perimeter of the minor sector.

Q.

The region shaded in blue is called a ___ of the circle.

1. major sector

2. major segment

3. minor sector

4. minor segment

Q.

Circle 'A' has a radius of 5cm and circle 'B' has a diameter of 10cm. They both are congruent.

1. True

2. False

Q. If two chords of a circle bisect each other, then both are diameters of the circle. State True or False.

1. False
2. True

Q. In the given figure m(arc AXB) = 120°. Find m(arc AYB)

1. 340°
2. 120°
3. 140°
4. 240°

Q.

Which picture shows 180° of a circle?

1. 

2. 

3. 

4. 

Q.

If we cut a circular cake into three equal parts, then geometrically the three parts obtained after cutting the cake are

1. Segments
2. Sectors
3. Arcs

Q. In the given figure m(arc AXB) = 120°. Find m(arc AYB)

Q.

There are four semicircle of a circle.

1. True
2. False

Q. In the given figure m(arc AXB) = 200°. Find m(arc AYB).

1. 140°
2. 160°
3. 180°
4. 200°

Q.

Two points on the circumference of a circle result in the formation of two arcs. The arc of longer length is called the ___ arc.

Q. What is the sign of alpha?

Q. In the given diagram, select the major arc of the circle, with respect to the chord AB.

1. Arc AXB
2. Arc AYB
3. Chord AB
4. Arc BXA

Q. Find the measure of arc PRQ in degrees?

1. 180
2. 290
3. 360
4. 110

Q. How to measure an angle ?

Q. Find the length of the arc of the curve $y=\log \left(\frac{e^x-1}{e^x+1}\right)$ from $x=1$ to $x=2$.

Q. If $2x^2+\lambda xy+2y^2+(\lambda -4)x+6y-5=0$ represents a circle, then its radius is

1. $2\sqrt{2}$
2. $3\sqrt{2}$
3. $\frac{\sqrt{23}}{2}$
4. $Noneofthese$

Q.

The circumference of a circle with centre O is divided into three arcs APB, BQC and CRA such that

$\frac{arcAPB}{2}=\frac{arcBQC}{3}=\frac{arcCRA}{4}$. Find $\angle COA$.

1. ${120}^o$
2. ${160}^o$
3. ${140}^o$
4. ${150}^o$

Q.

Which picture shows ${90}^{\circ }$ of a circle?

1. 

2. 

3. 

4. 

Q. Consider two equal circles. If two arcs are equal, then their radius and chords are ______.

1. different
2. same
3. equal
4. unequal

Q. What will be the angle in degrees subtended by a semi-circular arc?

1. 180
2. 120
3. 90
4. 200

Q. Radius of the circle is $r$ and $\theta$ is the angle of the sector in degree. Write down the formula of length of corresponding arc

Q. Write the length of an arc of a sector of circle with radius r and angle with degree measure $\theta$.