Circles questions | form three Basic Mathematics

Prove that the sizes of the angles in the same segment of a circle are equal.

Answer / Solution

UNSOLVED

In the figure below, O is the centre of the circle and AD bisects angle BAC. Find the angle BCD.

Answer / Solution

UNSOLVED

If O is the centre of a circle given below, find the value of x .

Answer / Solution

UNSOLVED

1. Below is the circle with centre O and radius r units. By considering the circumference of the circle, the area of the circle, the given angle and the degree measures of a circle(360°), develop the formula for finding ;

i. Arc length AB

2. Area of sector AOB

2. Find (i) the length of arc AB

       (ii) the area of the sector AOB if is 57° and r is 5.4cm

Answer / Solution

UNSOLVED

The two tangents AC and BC to the circle drawn below meet at C.

If O is the center of the circle , calculate the size of the angles marked a and b.

Answer / Solution

UNSOLVED