Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 8

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11th Maharashtra Board

IMPORTANT

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A semicircle is divided into two sectors whose angles are in the ratio $4 : 5$ . Find the ratio of their areas?

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Important Questions on Angle and its Measurement

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 9

Find the measure of the angle between hour-hand and the minute hand of a clock at twenty minutes past two.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 10

The central angle of a sector of circle of area

9 π

sq.cm is

60 °

, the perimeter of the sector is

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 1

Find the number of sides of a regular polygon if each of its interior angle is

\frac{3 π^{c}}{4} .

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 2

Two circles, each of radius

7

cm, intersect each other. The distance between their centres is

7 \sqrt{2}

cm. Find the area common to both the circles.

HARD

11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 3

∆ PQR

is an equilateral triangle with side

18

cm. A circle is drawn on the segment

QR

as diameter. If the length of the arc of this circle within the triangle is

k π cm

, then find the value of

k

.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 4

Find the radius of the circle in which central angle of

60 °

intercepts an arc of length

37.4

cm.

(π = \frac{22}{7})

(Write the answer up to

1

decimal unit)

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 5

A wire of length

10

cm is bent so as to form an arc of a circle of radius

4

cm. The angle subtended at the centre in degree is

\frac{k}{π}

, then find the value of

k

.

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11th Maharashtra Board

IMPORTANT

Mathematics and Statistics (Arts & Science) Part 1>Chapter 1 - Angle and its Measurement>MISCELLANEOUS EXERCISE - 1>Q 6

If two arcs of the same length in two circles subtend angles

65 °

and

110 °

at the centre. Find the ratio of their radii