Advertisements
Advertisements
Question
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord
Solution
Two circles intersect at C and D
CD is the common chord.
CD = AC + AD
= 3 + 3
= 6 cm
Length of the common chord = 6 cm.
APPEARS IN
RELATED QUESTIONS
Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.
In the following figure, OABC is a square. A circle is drawn with O as centre which meets OC
at P and OA at Q. Prove that:
(i) ΔOPA ≅ ΔOQC, (ii) ΔBPC ≅ ΔBQA.
In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of the side AD.
Use the figure given below to fill in the blank:
Diameter of a circle is ______.
Draw a circle of any radius. Show one diameter, one radius and one chord on that circle.
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is ______
In the following figure, if ∠OAB = 40º, then ∠ACB is equal to ______.
In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.
A figure is in the form of rectangle PQRS having a semi-circle on side QR as shown in the figure. Determine the area of the plot.
