The angle made by an arc at the center of a circle is 70^(@). By the same arc on the remaining part of the circle...

Arc of a Circle

Theorem 10.8 : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

The angle subtended by an arc of a circle at the centre is double the angle subtended by it any point on the remaining part of the circle.

Show that any angle in a semi-circle is a right angle. The following arc the steps involved in showing the above result. Arrange them in sequential order. A) therefore angleACB=180^(@)/2=90^(@) B) The angle subtended by an arc at the center is double of the angle subtended by the same arc at any point on the remaining part of the circle. c) Let AB be a diameter of a circle with center D and C be any point on the circle. Join AC and BC. D) therefore angleAD = 2 xx angleACB 180^(@)=2angleACB(therefore angleADB=180^(@))

The number of arcs made by a chord on a circle is___

Major arc……...minor arc of the circle.

Two arcs of two different circle are of equal lengths. If these arcs subtends angles of 45^(@) and 60^(@) at the centre of the circles. Find the ratio of the radii of the two circles.

The radius of a circle is 14cms. The angle subtended by an arc of the circle at the centre is 45^(@) . Find the length of the arc.