SSC Board Practice

SSC Grade IX - Circles
Question 1
1.
Angle subtended by the major arc at the centre is
  • zero angle
  • reflex angle
  • acute angle
  • right angle
  • straight angle
Question 2
2.
△CDE is inscribed in a circle with centre O. If ∠COD = 104° and ∠DOE = 136°, find ∠CDE
  • 65°
  • 90°
  • 60°
  • 70°
  • 75°
Question 3
3.
A chord of a circle divides the whole circular region into two parts, each called a
  • semi-circle
  • segment
  • circumference
  • centre
  • major segment
Question 4
4.
O is the centre of the circle and OE = DE. Find reflex ∠EOC
  • 240°
  • 270°
  • 245°
  • 250°
  • 255°
Question 5
5.
EF , GH , IJ , KL are chords of a circle with EF = 6 cm , GH = 3 cm , IJ = 5.8 cm and KL = 4.05 cm. The chord farthest from the centre of the circle is
  • IJ = 5.8 cm
  • KL = 4.05 cm
  • GH = 3 cm
  • EF = 6 cm
Question 6
6.
In the given figure, which of the following angle pairs are equal?
  • {(m,p),(o,n),(q,l),(k,r)}
  • {(p,n),(k,l),(o,r),(q,m)}
  • {(n,k),(q,l),(p,r),(m,o)}
  • {(n,q),(p,k),(m,o),(l,r)}
  • {(k,p),(l,o),(m,r),(n,q)}
Question 7
7.
Find the side of the square in the following figure if the radius of the circle is 12.00 cm.
  • 17.97 cm
  • 14.97 cm
  • 15.97 cm
  • 16.97 cm
  • 18.97 cm
Question 8
8.
If the radius of a circle is 77 cm, what is its diameter?
  • 156 cm
  • 152 cm
  • 154 cm
  • 153 cm
  • 155 cm
Question 9
9.
With the vertices of a triangle △ABC as centres, three circles are drawn touching each other externally. If the sides of the triangle are 12 cm , 17 cm and 13 cm , find the radii of the circles
  • 4 cm , 8 cm & 9 cm respectively
  • 9 cm , 8 cm & 9 cm respectively
  • 4 cm , 13 cm & 9 cm respectively
  • 4 cm , 8 cm & 14 cm respectively
  • 9 cm , 13 cm & 14 cm respectively
Question 10
10.
In the given figure, O is the centre of the circle. If ∠IGH = 63.34° and ∠GHI = 69.85°, find the angle ∠GJH
  • 76.81°
  • 61.81°
  • 56.81°
  • 51.81°
  • 46.81°