New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 1

HARD

10th CBSE

IMPORTANT

Earn 100

A chord of a circle of radius $30 cm$ makes an angle of $60 °$ at the centre of the circle. Find the area of the minor and major segments. Take $π = 3.14, \sqrt{3} = 1.732$

Important Questions on Area Related To Circle

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 2

A chord of a circle of radius

28 cm

subtends an angle

45 °

at the centre of the circle. If the area of the minor segment is

k {cm}^{2}

then find

k

correct up to three decimal places.

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 3

A chord of a circle of radius

28 cm

makes an angle

120 °

at the centre of the circle. If the area of the segment so formed is

k {cm}^{2}

then find the value of

k

correct up to three decimal places.

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 4

A chord of a circle subtends an angle of

60 °

at the centre. If the length of the chord is

100 cm,

and the area of the major segment is

2745 {cm}^{2} .

, find

k

. (up to two decimal places).

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 5

The perimeter of a sector of a circle with central angle

90 °

is

25 cm .

If the area of the minor segment of the circle is

k {cm}^{2}

, then find the value of

k

. [Use

π = \frac{22}{7}

]

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 6

Find the lengths of the arcs cut off from a circle of radius

12 cm

by a chord

12 cm

long. Also find the area of the minor segment. Take

π = 3.14, \sqrt{3} = 1.732

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 7

The radius of a circle is

5 cm .

A chord of length

\sqrt{50} cm

is drawn in the circle. If the area of the major segment is

k {cm}^{2}

then find the value of

k

correct up to three decimal places.

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 8

A chord of a circle of radius

14 cm

makes a right angle at the center. Find the areas of the minor and major segments of the circle.

HARD

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 12 - Area Related To Circle>EXERCISE>Q 9

Find the areas of both the segments of a circle of radius

42 cm

with central angle

120 °

.

(Use π = \frac{22}{7} and \sqrt{3} = 1.732)