draw a pair of tangents to a circle of radius 3.5cm which are perpendicular to each other
Answers
Answer:
110.
Step-by-step explanation:
Method 1:
Construct a circle concurrent with the other circle with radius 5csc35
0
And construct two tangents of the older circle from any point on the circle, the angle between them will be 70
0
∵ using trigonometry, we can find that the distance between the centre of the circle and the point where the tangents meet will be 5csc35
0
Method 2:
Construct 2 radius with an angle of 110
0
between them.
And draw perpendiculars from their point of contact. When these perpendiculars meet, they'll meet at 70
0
∵ the tangents are perpendicular to radius at point of contact. So, inorder to satisfy angle sum property, the other two angles should be supplementary; and supplementary angle of 70
0
is 110
0
.