Question

draw a pair of tangents to a circle of radius 4 cm which are inclined to each other at an angle of 70 degree​

Answer 1

Given: Draw a pair of tangents to a circle of radius $4\ cm$ which are inclined to each other at an angle of $70\ degree$.

To Find: Required Diagram.

Step-by-step explanation:

The tangents can be constructed in the following manner:

• Draw a circle of radius $4\ cm$ and with center as $O$.
• Take a point $A$ on the circumference of the circle and join $OA$. Draw a perpendicular to $OA$ at point $A$.
• Draw a radius $OB$, making an angle of $(180-70)=110\ degree$ with $OA$.
• Draw a perpendicular to $OB$ at point $B$. Let both the perpendiculars intersect at point $P$. $PA$ and $PB$ are the required tangents at an angle of $70\ degree$.

Now, The required tangents are $PA\ and\ PB$ as shown in the figure.

Answer 2

Step-by-step explanation:

The tangents length is 5.5cm

I hope this helps you