Draw two concentric circles of radii 3cm and 5cm. From a point on the outer circle, construct a pair of tangents to the inner circle. Measure their lengths and verify the measurement by actual calculation.??
Steps of construction of tangents:-
Step 1
Take a point O and draw two concentric circles of radii 3 cm and 5 cm respectively.
Step 2
Locate a point P on the circumference of larger circle.
Step 3
Join OP and bisect it . Let M be the midpoint of OP.
Step 4
Taking M as centre and MP(or MO) as radius,draw a circle intersecting smaller circle at A and B.
Step 5
Join PA and PB .Thus PA and PB are the required tangents.
Now after measuring PA and PB comes out to be 4 cm
Verification of measurement by actual calculation:-
Join OA
Step 1
Take a point O and draw two concentric circles of radii 3 cm and 5 cm respectively.
Step 2
Locate a point P on the circumference of larger circle.
Step 3
Join OP and bisect it . Let M be the midpoint of OP.
Step 4
Taking M as centre and MP(or MO) as radius,draw a circle intersecting smaller circle at A and B.
Step 5
Join PA and PB .Thus PA and PB are the required tangents.
Now after measuring PA and PB comes out to be 4 cm
Verification of measurement by actual calculation:-
Join OA