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Published on: 29/08/2019
Circles
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Questions + Answers key
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1.
The minute hand of a clock is at 12 and the smaller hour's hand is at 2. The angle between the hands of the clock is
10°
20°
30°
60°
2.
The longest chord of a circle is called
radius
diameter
segment
sector.
3.
The wheels of a vehicle are in
rectangular
triangular
circular shape
trapezoidal
4.
The shape of the coin of RS 1 is
triangle
rhombus
circle
trapezium
5.
The path traced by the tip of the second's hand is a
circle
square
rectangle
straight line
6.
Figure,O is centre of the circle and PA=PB Find ㄥOPA
7.
In the figure, quadrilateral PQRS is cyclic. If ㄥP=80°, then R is equal to __________
8.
In the given figure, if ㄥPOR is 110, then find the value of ㄥPQR.
9.
In the figure, ㄥACP=40 and ㄥBPD=120, then ㄥCBD=____________
1.
Required angle\(=\frac { 2 }{ 12 } \times 360°=60°\)
2.
Definition of diameter
3.
(c)
circular shape
4.
(c)
circle
5.
(a)
circle
6.
( )
Given PA=PB
∴ ㄥOPA=90o
7.
( )
Since, quadrilateral PQRS is cyclic
ஃ ㄥP+ㄥR=180°
⇒ 80°+ㄥR=180°
⇒ ㄥR=100°
8.
( )
Reflex angle PQR = 360° - 110°
= 360° - 110°
= 250°
By degree measure theorem,
ㄥPQR=\(\frac{1}{2}\)(reflex angle POR)
=\(\frac{1}{2}\)(250°)
=125°
9.
( )
[∵ Angles in the same segment are equal]
Now in ΔDPB
ㄥDPB+ㄥDBP+ㄥPDB=180°
⇒ 120°+ㄥDBP+40°=180°
ㄥDBP=180-(120°+40°)
ㄥDBP=20°
ㄥCBD=ㄥPBD=20°
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