Question

PRACTICE EXERCISE 14
1. Draw a circle with centre O and radius 4 cm. Explain the steps necessary to draw a segment of the circle​

Answer 1

Question:-

Draw a circle of radius 4 cm with centre O. Draw a diameter POQ.Through P or Q draw tangent to the circle.

ANSWER:-

We follow the following steps:

step of construction 

STEP I

Taking O as centre and radius equal to 4 cmdraw a circle.

STEP II

Draw diameter of POQ.

STEP III

Construct ∠PQT=90o

STEP IV

Produce TQ to T′ to obtain the required tangent TQT′.

TypeII CONSTRUCTION OF A TANGENT TO A CIRCLE AT A GIVEN POINT WHEN ITS CENTRE IS NOT KNOWN

Step of construction

STEP I

Draw any chord PQ through the given point P on the circle.

STEP II

Join P and Q to a point R either in the major are or in the minor arc.

STEP III

Construct ∠QPY equal to ∠PRQ and on the opposite side of the chord PQ.

STEP IV

Produce YP to X to get YPX as the required tangent.