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
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at center.
From an external point P, tangents PA and PB are drawn to the circle with centre O. If CD is the tangent to the circle at point E and PA = 14 cm. Find the perimeter of ABCD.
From an external point P, tangents PA and PB are drawn to a circle with center O. If CD is the tangent to the circle at a point E and PA = 14cm, find the perimeter of ΔPCD.

AB and CD are common tangents to two circles of equal radii. Prove that AB = CD.
Draw circle with diameter: 8.4 cm
In above case, measure the length of the radius of the circle drawn.
State, if the following statement is true or false:
If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.
Draw circle with the radii given below.
4 cm
In the adjoining figure, seg DE is the chord of the circle with center C. seg CF⊥ seg DE and DE = 16 cm, then find the length of DF?
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 ______.
In the adjoining figure, AC is a diameter of the circle. AP = 3 cm and PB = 4 cm and QP ⊥ AB. If the area of ΔAPQ is 18 cm2, then the area of shaded portion QPBC is ______.

