Circles questions | form three Basic Mathematics

Find Circles examination questions, form three Basic Mathematics in acaproso.com

#	Question
1	Prove that the sizes of the angles in the same segment of a circle are equal. Mathematical Calculation
2	In the figure below, O is the centre of the circle and AD bisects angle BAC. Find the angle BCD. Mathematical Calculation
3	If O is the centre of a circle given below, find the value of x . Mathematical Calculation
4	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 $heta$ and the degree measures of a circle(360°), develop the formula for finding ; i. Arc length AB Area of sector AOB Find (i) the length of arc AB (ii) the area of the sector AOB if $heta$ is 57° and r is 5.4cm $left ( use, pi=frac{22}{7} ight )$ Mathematical Calculation
5	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. Mathematical Calculation
6	Prove that the opposite angles of any quadrilateral inscribed in a circle are supplementary. Mathematical Calculation
7	In figure 1 below , 0 is the centre of the circle, angle AOB=120° and angle CDB=15°. Find the value of x. Mathematical Calculation
8	The figure below shows a circle in which the chords AD and BC intersect at R. Chords AB and CD produced meet at X. Show that triangle $Delta ADX sim Delta CBX$ . Mathematical Calculation
9	Convert 315° into radians (leave $pi$ as $pi$ ). Show that the radius of a circle with an arc of length $pi$ m and central angle $frac{pi}{6}$ is 6m. Mathematical Calculation
10	AOP is the diameter of a circle with centre O. Given the ABC is a straight line and angle QBC=81”. Calculate the value of angle PAQ. Mathematical Calculation