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InterviewSolution
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Draw two concentric circles of radii 3 cm and 5 cm . Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation . |
Answer» Solution :Given, tow concentric CIRCLES of radii 3cm and 5 cm with centre O. We have to draw PARI of tangents from point P on outer circle to the other.  Steps of construction 1 Draw two concentric circles with centre O and radii 3 cm and 5cmm. 2. Taking any point P on outer circle. Join OP. 3. Bisect OP, let M' be the MID point of OP. Taking M' as centre and OM' as radius draw a circle dotted which cuts the innner circle at M and P'. 4. Join PM and PP'. Thus, PM and PP' are the required tangents. 5. On measuring PM and PP', we find that PM=PP'=4 cm . Actual calculation In right angle `DeltaOMP`, `anglePMO=90^(@)` `:. PM^(2)=OP^(2)-OM^(2)` [ By PYTHAGORAS theroem i.e, `"(hypotaneous)"^(2)="(base)"^(2)+"(perpendicular)"^(2)`] `implies PM^(2)=(5)^(2)-(3)^(2)=25-9=16` `implies PM=4 ` cm Hence, the length of both tangents is 4 cm. |
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