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SSC: Circles : 29.12.2017

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Question 1

AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3 cm, then the diameter of the circle is?

Question 2

The diameter of a toy wheel is 14 cm. What is the distance travelled by it in 15 revolutions?

Question 3

The four equal circles of radius 4 cm drawn on the four corners of a square, circle  touch each other externally. Then the area of the portion between the square and the four sectors is

Question 4

A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5 cm. Find area of the rectangle?

Question 5

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. the AP: AB is?

Question 6

In the given figure, O is the centre of the circle. If ∠AOC = 90°, find ∠ABC

Question 7

A semicircular shaped window has diameter of 63 cm. Its perimeter equals

Question 8

In the following figure, AB be diameter of a circle whose centre is O. If then the measure of is

Question 9

D, E and F are points on the circumference of the circle. If DE = DF = 7√2 cm and EDF = 90°, what is the radius of the circle?

Question 10

The radii of two circles are 5 cm and 3cm and the distance between their centres is 24 cm. Then, the length of their transverse common tangent is
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