Advertisements
Advertisements
Question
Given an arc of a circle, complete the circle.
Advertisements
Solution
Steps of construction:
(i) Take three point A, B, 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
In the given figure, ∠ABC = 69°, ∠ACB = 31°, find ∠BDC.
Fill in the blank:
Segment of a circle is the region between an arc and .................. of the circle.
Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
Given an arc of a circle, show how to complete the circle.
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 and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.
Prove that the angle in a segment greater than a semi-circle is less than a right angle.
If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.
A circle has radius `sqrt(2)` cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in major segment is 45°.
