In the figure AB is the diameter of the circle. PQ, RS are perpendicular to AB. Also #"PQ" = sqrt(18) "cm"#, #"RS" = sqrt(14) "cm"#. Find the diameter of this semicircle? Draw a semicircle of the same diameter and construct a square of area #20 "cm"^2#?
1 Answer
Trying to get a solution considering positive integer values of lengths of
(a) In the given figure
As
Again
As
So above two relations give a possible length of diameter of the semicircle.
(b) A semicircle of diameter
The length of remaining part will be
A perpendicular
Hence
.
The square