Question Pool Circle Measures

Circle Measures - SAMAGRA Question Pool & Answers | Class 9 English Medium

Kerala Syllabus SAMAGRA SCERT SAMAGRA Question Pool for Class 9 English Medium Maths Circle Measures

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Qn 1.

How much more is the perimeter of a circle of radius 15 centimetre than the perimeter of radius 5 centimetre ?

  • Answer)


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Qn 2.

In the figure all the vertices of the equilateral triangle are on a circle. If one side of the triangle is 10√3 cm

(a) Write the measures of angles of triangle OAP

(b) Find the radius of the circle

(c) Find the perimeter of the circle

(d) Calculate the area of the circle

  • Answer)

    (a) 30° , 60° , 90°                                      

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Qn 3.

If the perimeter of a circle is 20 π find its area?

  • Answer)

    2 πr = 20 π

    r = 10 cm

    Areab = π x 10 x 10 = 100π

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Qn 4.

If a circle is drawn through all the vertices of a regular hexagon of side 6 centimetre, then

(a) Find the radius of the circle

(b) Find the perimeter of the circle.

  • Answer)

    (a)   radius of the circle = 8 

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Qn 5.

A circle is drawn inside a square of side 6 cm. as shown in the figure.

a) What is the radius of the circle ?

b) Find the area of the shaded portion.

  • Answer)

    a) Radius of the circle  = 3 സെ.മീ.                                

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Qn 6.

A circle is made using an arc of central angle 120° which is cut from a circle of radius 12 cm.

(a) What is the length of the arc ?

(b) What is the perimeter of the new circle ?

(c) Find the area of the new circle

  • Answer)
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Qn 7.

If the side of a square is 8 cm and its four vertices are on a circle , then

(a) What is the area of the square ?

(b) Find the diagonal of the square?

(c) Find the area of the shaded portion in the figure.

  • Answer)

    Area of the square = 64 sq.cm .                            

    diagonal length of the

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Qn 8.

A sector is drawn by taking one vertex of a square having side 8 cm as centre. Find the area of the sector.

  • Answer)
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Qn 9.

If the radius of a circle is 10 cm , what will be the arc length of a sector having central angle 60° ?

  • Answer)
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Qn 10.

If the central angle of a sector with arc length 12π is 120° , then

a) What is the perimeter of the circle ?

b) What is the radius of the circle ?

  • Answer)

    a) Perimetere = 3 x 12π = 36 π    

    b) Radius= 36 π / 2π =

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