Parts of a Circle: Major Arc, Minor Arc

Q.

How do you find the length of arc subtended by a central angle of $30°$ in a circle of radius $10cm?$

Q. What kind of an arc do two chords subtend at an angle $90$ degree at a point on the circumference of a circle form?

1. Major Arc
2. Minor Arc
3. I don't know

Q. The two arcs of a circle are congruent if thesubtended by them at the center of the circle are equal.

Q.

An arc of length $100m$ subtends a central angle $\theta$ in a circle of radius $50\mathrm{m}$. Find the measure of $\theta$ in degrees and in radians.

Q. The two kinds of arcs are major arc and minor arc.

1. True
2. False

Q. Radius of a circle is $28$ cm. What is the angle subtended by an arc of length $17.6$ at the centre?

1. ${10}^o$
2. ${30}^o$
3. ${36}^o$
4. ${45}^o$

Q. Angle subtented on the centre of the circle is less than ${180}^o$ by the arc. Then the arc is

1. Major arc
2. Minor arc

Q. What kind of an arc does the hands of a clock form in the upper hemisphere of the clock when the time is $3:55$ ?

1. Minor Arc
2. Major Arc
3. None of the above

Q. Can a circle have more than one major arc?

1. Yes
2. No

Q. Which among the following is the major arc?



To be noted: the arc names follow the clockwise pattern.

1. $AC$
2. $CB$
3. $BD$
4. $AD$

Q. The circumference of a circle is $28.08\text{cm}$. Find length of minor arc of the circle if length of major arc of the circle is $24.08\text{cm}$.

1. $3$ cm
2. $4$ cm
3. $3.51$ cm
4. $7.02$ cm

Q.

How do you find the length of arc subtended by a central angle of $30°$ in a circle of radius $10\mathrm{cm}$?

Q. The portion of a disk enclosed by two radii and an arc is known as

1. Segment
2. Sector
3. Arc

Q. To form a major arc two arms must subtend a minimum angle (in degree) of _________ at the center of the circle.

1. ${180}^o$
2. ${181}^o$
3. ${360}^o$
4. $0^o$

Q.

Use the formula for radian measure to calculate the measure of the central angle of a circle with a radius $12\mathrm{cm}$ intercepting an arc of $21\mathrm{cm}$.

Q. Given that the minor arc subtends an angle $\theta$ at the centre of the circle, the arc length of the major sector can be written as

1. $\frac{180°-\theta }{360°}\times \mathrm{\pi d}$
2. $\frac{360°-\theta }{360°}\times \mathrm{\pi r}$
3. $\frac{\theta }{360°}\times \mathrm{\pi d}$
4. $\frac{360°-\theta }{360°}\times \mathrm{\pi d}$

Q.

How do you find the radian measure of the central angle of a circle of radius $8\mathrm{feet}$ that intercepts an arc of length $14\mathrm{feet}$ ?

Q. The length of circumference of the circle whose arc of $16$ m length is making ${90}^o$ at ther centre of the circle ism.

Q. Can a circle have two arcs having the same measure?

1. Yes
2. No