Sector of a Circle

Q. Circular region enclosed by the two radii and the corresponding arc is called a ___ of the circle.

1. Sector
2. Segment
3. Arc
4. All the above

Q. A chord of circle $14cm$ makes an angle of ${60}^o$ at the centre of the circle. Find
(i) Area of minor sector
(ii) Area of the major segment
(iii)Area of the major sector
(iv)Area of the major segment

1. $\left(i\right)=102.57c{m}^2,\left(ii\right)=17.80c{m}^2,\left(iii\right)=512.87c{m}^2,\left(iv\right)=597.64c{m}^2$
2. $\left(i\right)=12.57c{m}^2,\left(ii\right)=17.80c{m}^2,\left(iii\right)=512.87c{m}^2,\left(iv\right)=597.64c{m}^2$
3. $\left(i\right)=102.57c{m}^2,\left(ii\right)=1.80c{m}^2,\left(iii\right)=512.87c{m}^2,\left(iv\right)=597.64c{m}^2$
4. None of these

Q.

In the figure given below, ABCD is a rectangle with AB = 24 cm & AD = 20 cm & P & Q are the mid-points of sides BC & DC respectively. Find the area of the unshaded portion.

1. 400 sq. cm

2. 380 sq. cm

3. 480 sq. cm

4. 420 sq. cm

Q. if the distance between the centres of two circles is greater than the sum of radii of these two circles, then the number of pairs of equal tangents will be

Q. THE LENGTH OF MINUTE HAND OF A CLOCK IS 21cm, THEN FIND THE AREA SWEPT BY MINUTE HAND IN 10 MINUTES.

Q. THE LENGTH OF MINUTE HAND OF A CLOCK IS 21cm, THEN FIND THE AREA SWEPT BY MINUTE HAND IN 10 MINUTES.

Q.

ABCD is a cyclic quadrilateral whose side AB is the diameter of the circle with centre O through A, B, C, D. If $\angle ADC={130}^{\circ }$, Calculate $\angle$BAC.

1. ${90}^{\circ }$

2. ${40}^{\circ }$

3. ${50}^{\circ }$

4. ${70}^{\circ }$

Q.

Name the following

The part of a circle enclosed by an arc and a pair of radii.

Q. In the given figure, AC is a diameter of the circle. Find the value of $x.$