(i) Each side of square ABCD =14 cm.
∴ Area of square ABCD
= (Side)2
= (14)2
= 196 sq.cm.
(ii) Measure of radii of 4 circles, r = \(\frac{14}{2}\) = 7 cm.
∵ Distance between tangents which touches circles externally,
d = R + r = 7 + 7 = 14 cm.
Area of segment with centre,
A = ? r = 7 cm, θ = 90°
∴ Total area of 4 sectors
= 4 × 38.5 = 154 sq.cm.
(iii) The Area of track :
= (Area of GHIJ – Area of ABCD)
= 196 – 154
= 42 sq.cm.