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A straight line passing through a point on a circle is

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Important Questions on Circles

EASY
Mathematics>Geometry>Circles>Tangent to a Circle
An arc length of 16π units subtends an angle of 240 degrees. Find the radius (in unit) of the circle.
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
How many tangents can be drawn to two circles, whose radii are equal to 4 cm and 5 cm respectively and the distance between the two centres is 5 cm.
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Mathematics>Geometry>Circles>Tangent to a Circle
The length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively. Find the length of the other side (in cm).
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
If the measure of the interior angle of a regular polygon is 1080, then how many sides does It have?
MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle
 The exterior angle of a regular polygon is 72°. What would be the sum of all its interior angles?
MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle
The angle subtended by the chord of length 10 cm is 120° at the centre. Calculate the distance of the chord (in cm) from the centre.
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
Find the perimeter (in cm) of a semicircle of radius 7 cm.
HARD
Mathematics>Geometry>Circles>Tangent to a Circle

The two circles with radii 6 cm and 3 cm centred at the point P and Q respectively. A transverse common tangent AC to the both circles cuts line Joining P and Q at the point B such that AB =  8 cm. Calculate the length (in cm.) of PQ.

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MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle

5 : 18 is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle
In ∆ABD, C is the midpoint of BD. If AB =10 cm, AD =12 cm and AC=9 cm, then BD=?
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
In △ABC, the measure of angle ∠ABC is 90°. If tanA=125, and AB=1 cm, then what is the length (in cm) of side BC?
EASY
Mathematics>Geometry>Circles>Tangent to a Circle

If the interior angle of a regularpolygon is 108°, then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon 

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Mathematics>Geometry>Circles>Tangent to a Circle
The side of an equilateral triangle is 10 cm. Find its area (in cm2).
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
The area of an equilateral triangle is 183 sq. units. Find the value of the side (in units) of the triangle.
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Mathematics>Geometry>Circles>Tangent to a Circle
Which among the following statements are certainly correct?
 
 
MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle
What is the area (in cm2) of the rhombus having side as 20 cm and one of the diagonal as 24 cm?
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Mathematics>Geometry>Circles>Tangent to a Circle
The circle of radius 4 cm and centre O has a tangent PR. If ∠POR = 90o and OR = 7 cm and OP = 24 cm. Calculate the length (in cm.) of PR.
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Mathematics>Geometry>Circles>Tangent to a Circle
The distance between the centres of two circles having radii 5 cm and 6 cm is 10cm. Find the length (in cm) of direct common tangent.
MEDIUM
Mathematics>Geometry>Circles>Tangent to a Circle
If the length of a rectangle is decreased by 5 metres and breadth increased by 3 metres, its area decreases by 9 m2. If its length is increased by 3 m and breadth by 2 m, its area increases by 67m2. What is the length of the rectangle ?
EASY
Mathematics>Geometry>Circles>Tangent to a Circle
A hall is 15 m long and 12 m broad. The sum of the areas of the floor and the ceiling is?(in square meters).