Advertisements
Advertisements
प्रश्न
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is ______.
विकल्प
6 cm
8 cm
10 cm
12 cm
Advertisements
उत्तर
If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is 10 cm.
Explanation:
Given in the question, AB = 12 cm and BC = 16 cm.
In a circle, BC ⊥ AB. So, that means AC will be a diameter of circle.
Now, by using Pythagoras theorem in right-angled triangle ABC.
AC2 = AB2 + BC2
AC2 = (12)2 + (16)2
AC2 = 144 + 256
AC2 = 400
AC = 20 cm
So, radius of circle = `1/2 xx AC`
= `1/2 xx 20`
= 10 cm
Therefore, the radius of circle is 10 cm.
APPEARS IN
संबंधित प्रश्न
In the given figure, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.
In two concentric circles, prove that all chords of the outer circle which touch the inner circle are of equal length.
In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.
In the given figure, an isosceles triangle ABC, with AB = AC, circumscribes a circle. Prove that point of contact P bisects the base BC.
In the given figure, ABCD is a cyclic quadrilateral. If ∠BCD = 100° and ∠ABD = 70°, find ∠ADB.
In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.
ABC is a right triangle in which ∠B = 90°. If AB = 8 cm and BC = 6 cm, find the diameter of the circle inscribed in the triangle.
The diameter of the circle is 52 cm and the length of one of its chord is 20 cm. Find the distance of the chord from the centre
In figure, tangents PQ and PR are drawn to a circle such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find the ∠RQS.
[Hint: Draw a line through Q and perpendicular to QP.]
From the figure, identify a point in the exterior.
