Question

draw a pair of tangents to a circle of radius 4cm which are inclined to each other at an angle of 45 degree.

Answer 1

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# Step 1 : Draw a circle of radius 4 cm and centre O.

# Step 2 : Take a point A on the circle. Join OA.

# Step 3 : Draw a perpendicular to OA at A.

# Step 4 : Draw a radius OB, making an angle of 135° (180° – 45°) with OA.

# Step 5 : Draw a perpendicular to OB at point B.

Let these perpendiculars intersect at P.

# PA and PB are the required tangents inclined at angle of 45°.

Answer 2

Here is how to do it for 60 degree. Just replace it with 45 in a few steps and you will get it done for 45 degree. HOPE IT HELPS.

Answer:-

Given, the radius of the circle = 4 cm

Again, the angle between tangents = 60

i.e. angle BPA = 60

Since the angle at center is double the angle between tangents

So, angle AOB = 2 * 60= 120

Steps of Construction:

1. Draw a circle of radius 4 cm having center O

2. Now, take a point on the circle and join OA.

3. Draw a perpendicular to OA at A.

4. Now, draw a radius OB, making an angle of 60 (180- 120) with OA.

5. Draw a perpendicular to OB at B. Let these perpendiculars intersect at P.

Now, PA and PB are the required tangents inclined at angle 60 degree