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Circles

Multiple Choice Questions

131. The length of a side of a regular hexagon is 3 cm. The length of the diameter of its circumscribed circle is equal to

3 cm
5 cm
6 cm
6 cm

124 Views

132. The length of each side of a regular hexagon is 2 cm. The area of its circumscribed circle is

$straight pi space cm squared$
$2 straight pi space cm squared$
$4 straight pi space cm squared$
$4 straight pi space cm squared$

120 Views

133. The length of the diagonal of a rectangle is 10 cm. The area of its circumscribed circle is
10 $straight pi$ cm²
25 $straight pi$ cm²
$100 straight pi space cm squared$
$100 straight pi space cm squared$

straight pi

cm²

108 Views

134. The length of a chord of a circle is 16 cm and its distance from the centre is 6 cm. The measure of the radius of the circle is

6 cm
8 cm
10 cm
10 cm

99 Views

135.

In the following figure, there are two congruent circles whose centres are O and O' and chord AB = chord CD. If ∠CO'D = 60°, then the measure of ∠APB is equal to

45°
40°
30°
30°

106 Views

136. In the following figure, O is the centre of the circle. AOC is a diameter of the circle and ∠AOB = 80°. The degree measure of ∠OBC is equal to

30°
35°
40°
40°

128 Views

137. The length of the chord of a circle, of radius 13 cm, at a distance of 5 cm from the centre is

12 cm
18 cm
20 cm
20 cm

95 Views

138. The length of the perpendicular from the centre of a circle of radius 5 cm on a chord of it of length 8 cm is

6 cm
5 cm
4 cm
4 cm

89 Views

139. In the following figure, two circles C (O₁, r) and C(O₂, r) are congruent and arc

PQ with overbrace on top

= arc

bold RS with bold overbrace on top

If the measure of ∠RO₂S = 62° and the measure of ∠PAQ = x°, then the value of x is

28°
31°
38°
38°

87 Views

140. In the following figure, ABCD is a cyclic quadrilateral whose side AD is a diameter of the circle and the point O is the centre of the circle. If ∠OCD = 50°, then the measure of ∠ABC is