Advertisements
Advertisements
Question
AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24 cm then the distance of AB from the centre of the circle is
Options
10 cm
9 cm
8 cm
6 cm
Advertisements
Solution
9 cm
Explanation;
Hint:
In ΔAOC,
AO = 15 cm
AC = `1/2` AB
= `1/2 xx 24`
= 12 cm
In ΔAOC,
OC2 = AO2 – AC2
= 152 – 122
= 225 – 144
= 81
OC = `sqrt(81)`
= 9 cm
APPEARS IN
RELATED QUESTIONS
true or false
A chord of a circle, which is twice as long is its radius is a diameter of the circle.
true or false
The degree measure of an arc is the complement of the central angle containing the arc.
Two circles touch internally. The sum of their areas is 116 π cm2 and the distance between their centres is 6 cm. Find the radii of the circles ?
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.
In the given figure, AB is a diameter of a circle with centre O and AT is a tangent. If \[\angle\] AOQ = 58º, find \[\angle\] ATQ.
Use the figure given below to fill in the blank:
R is the _______ of the circle.
Given: A circle inscribed in a right angled ΔABC. If ∠ACB = 90° and the radius of the circle is r.
To prove: 2r = a + b – c
A point A is 26 cm away from the centre of a circle and the length of the tangent drawn from A to the circle is 24 cm. Find the radius of the circle.
If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.
Assertion (A): If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason (R): Circumference = 2π × radius of a circle.
