Advertisements
Advertisements
Question
Given an arc of a circle, show how to complete the circle.
Advertisements
Solution

Steps of construction:
(i) Take three point A, B and C on the given Arc
(ii) Join AB and BC
(iii) Draw the perpendicular bisectors of chords AB and BC which interest each other at
point O, then O will required center of the required circle
(iv) Join OA
(v) With center O and radius OA, complete the circle
APPEARS IN
RELATED QUESTIONS
If O is the centre of the circle, find the value of x in the following figure:

If O is the centre of the circle, find the value of x in the following figure

O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A.
In the given figure, O is the centre of the circle, BO is the bisector of ∠ABC. Show that AB = BC.

In the given figure, O is the centre of the circle, prove that ∠x = ∠y + ∠z.

In the given figure, two circles intersect at A and B. The centre of the smaller circle is Oand it lies on the circumference of the larger circle. If ∠APB = 70°, find ∠ACB.

In the given figure, if ∠AOB = 80° and ∠ABC = 30°, then find ∠CAO.

In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.

If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are
