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Circles Test - ...

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  • Question 1
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    The radius of a circle is 25 cm. AB and CD are two parallel chords 17 cm apart. If AB = 48 cm, then CD is approximately equal to

  • Question 2
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    In the given figure, two chords AB and CD of a circle intersect each other at a point E such that BAC = 450, BED = 1200. Find ABD.

  • Question 3
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    In given figure, a circle and a quadrilateral ABCD inscribed in it is shown. If B = 1350, E is equal to

  • Question 4
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    In the adjoining figure, ABC is a right angled triangle with AB = 6 cm and AC = 8 cm. The radius of the inner circle is

  • Question 5
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    AB and CD are parallel chords with centre O such that AB = 80 cm and CD = 18 cm. The chords are on the same side of the centre and the distance between them is 31 cm. The radius of the circle is

  • Question 6
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    In the given figure, AOB and COD are two diameters of a circle with centre O. If OAC= 70°, find ABD.

  • Question 7
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    In the given figure, chord AB is shown in a circle. If two more chords AD and BE are drawn perpendicular to AB, which of the following holds true?

  • Question 8
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    In the figure shown below, PT and PB are tangent and secant to the circle respectively, PT = 6 cm and PA = 6 cm. Find AB.

  • Question 9
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    What is the distance (in cm) between two parallel chords of lengths 48 cm and 14 cm in a circle of radius 25 cm?

  • Question 10
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    In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If CAD = 40° and BDC = 25°, find the measure of BCD.

  • Question 11
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    PQ and PR are tangents to a circle and QS is the diameter. Then

  • Question 12
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    In the given figure, A is a point outside the circle with centre O. AT and AU are tangents to the circle and P is the point on the circle as shown in the figure below. Find TPU (given that TAU = 80o).

  • Question 13
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    The figure shows a circle of diameter AB and radius 12.5 cm. If chord CA is 24 cm, find the area of triangle ABC.

  • Question 14
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    Two chords AB and CD of a circle cut each other when produced outside the circle at P. AD and BC are joined.



    If PAD = 30° and CPA = 45°, find CBP.

  • Question 15
    1 / -0

    ABCD is a quadrilateral. If ACB = ADB, then

  • Question 16
    1 / -0

    In the figure below, find ADB if BAQ = 580.

  • Question 17
    1 / -0

    A chord of a circle is equal to the radius. The angle subtended by the chord at the minor arc of the circle is

  • Question 18
    1 / -0

    In the given figure, ABC is inscribed in a circle. The bisector of BAC meets BC at D and the circle at E. If EC is joined, then ECD = 40°.



    Find the measure of BAC.

  • Question 19
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    As shown in figure, ABC is a triangle inscribed in a circle with centre O. A is equal to

  • Question 20
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    In the following figure AP, AQ and BC are tangents to a circle. The length of AP = 12 cm. Find the perimeter of the triangle ABC.

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