Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6 cm a...

Question

Construct a tangent to a circle of radius 4cm from a point on the concentric circle of radius 6 cm and measure its length Also verify the measurement by actual calculation

Accepted Answer

Solution Steps to construct Step 1 Mark a point O Step 2 With center O and radius 4cm and 6cm draw two concentric circles Step 3 Join OA and mark its midpoint as M Step 4 With center M and radius MA draw another circle which intersects the first circle at P and Q Step 5 Join AP and AQ Hence AP and AQ are the required tangents to the first circle from point A and are of measurement 45 cm each For verification Join OP than in triangle OPA OAsup2sup OPsup2supPAsup2sup 6sup2sup 4sup2sup PAsup2sup PAsup2sup 361620 PA 45 cm

ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.1 in Chapter 16 - Constructions