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)
43°
(ii)
38°
(iii)
58°
(iv)
28°
(v)
33°
Question
2
2.
O is the centre of the circle. If ∠FHG = 33° and ∠HFI = 31°, find w°, x°
(i)
49°, 57°
(ii)
57°, 59°
(iii)
69°, 67°
(iv)
59°, 57°
(v)
89°, 77°
Question
3
3.
An arc subtends 90° in its alternate segment. The arc is
(i)
major segment
(ii)
minor arc
(iii)
semi-circle
(iv)
major arc
(v)
quadrant
Question
4
4.
The angle subtended by the semicircle at the centre is
(i)
185°
(ii)
180°
(iii)
210°
(iv)
195°
(v)
190°
Question
5
5.
The angle subtended by the diameter at any point on the circle is
(i)
120°
(ii)
95°
(iii)
100°
(iv)
90°
(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)
right angle triangle
(ii)
obtuse angled triangle
(iii)
acute angled triangle
(iv)
equilateral triangle
Question
7
7.
In the given figure HJ & IJ are equal length chords of the circle. Find ∠JHI
(i)
55°
(ii)
50°
(iii)
45°
(iv)
60°
(v)
75°
Question
8
8.
In triangle ABC, if a circle is drawn with BC as diameter and if it passes through A it is a
(i)
acute angled triangle
(ii)
right angle triangle
(iii)
obtuse angled triangle
(iv)
equilateral triangle
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (ii)
5) (iv)
6) (i)
7) (iii)
8) (ii)
