EduSahara™ Assignment
Name : Angle in a Semi-circle
Chapter : Circle
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the missing angle in the following figure?
(i)
39°
(ii)
59°
(iii)
34°
(iv)
44°
(v)
29°
Question
2
2.
O is the centre of the circle. If ∠KML = 35° and ∠MKN = 31°, find w°, x°
(i)
55°, 59°
(ii)
49°, 55°
(iii)
69°, 65°
(iv)
59°, 55°
(v)
89°, 75°
Question
3
3.
An arc subtends 90° in its alternate segment. The arc is
(i)
minor arc
(ii)
minor segment
(iii)
major segment
(iv)
major arc
(v)
semi-circle
Question
4
4.
The angle subtended by the semicircle at the centre is
(i)
190°
(ii)
195°
(iii)
210°
(iv)
185°
(v)
180°
Question
5
5.
The angle subtended by the diameter at any point on the circle is
(i)
95°
(ii)
90°
(iii)
120°
(iv)
100°
(v)
105°
Question
6
6.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
(i)
obtuse angled triangle
(ii)
equilateral triangle
(iii)
right angle triangle
(iv)
acute angled triangle
Question
7
7.
In the given figure IK & JK are equal length chords of the circle. Find ∠KIJ
(i)
55°
(ii)
50°
(iii)
60°
(iv)
45°
(v)
75°
Question
8
8.
In triangle HIJ, if a circle is drawn with IJ as diameter and if it passes through H it is a
(i)
equilateral triangle
(ii)
acute angled triangle
(iii)
right angle triangle
(iv)
obtuse angled triangle
Assignment Key
1) (v)
2) (i)
3) (v)
4) (v)
5) (ii)
6) (iii)
7) (iv)
8) (iii)
