Advertisements
Advertisements
Question
Draw a circle of radius 6 cm. In the circle, draw a chord AB = 6 cm.
(i) If O is the center of the circle, join OA and OB.
(ii) Assign a special name to ∆AOB
(iii) Write the measure of angle AOB.
Advertisements
Solution
(i)

(ii) Δ AOB is equilateral triangle.
(iii) By measurement ∠AOB = 60°
APPEARS IN
RELATED QUESTIONS
Fill in the blanks:
Segment of a circle is the region between an arc and __________ of the circle.
Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.
In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠TPQ = 70° , find the ∠TRQ.

In the given figure, PA and PB are tangents to the circle from an external point P. CD is another tangent touching the circle at Q. If PA = 12 cm, QC = QD = 3 cm, then find PC + PD.

The circle which passes through all the vertices of a triangle is called ______.
ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.

Draw a circle of diameter 7 cm. Draw two radii of this circle such that the angle between these radii is 90°. Shade the minor sector obtained. Write a special name for this sector.
Draw a circle of any radius. Show one diameter, one radius and one chord on that circle.
Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm, and 7 cm. Find the radii of the circles.
If a hexagon ABCDEF circumscribe a circle, prove that AB + CD + EF = BC + DE + FA.
