Answer :
The diameter of the coaster is 5 cm.
Step-by-step explanation:
Given,
The area of the circle = 19.63 sq inch
To find the diameter, we need to find the radius
Formula
The area of a circle with radius(r) = π[tex]r^{2}[/tex] sq cm
According to the problem,
π[tex]r^{2}[/tex] = 19.63
or, [tex]r^{2}[/tex] = [tex]\frac{7 X 19.63}{22}[/tex]
= 6.2459
or, r = [tex]\sqrt{6.2459}[/tex] = 2.499 (approx)
= 2.5 cm
Hence the diameter of the circle = 2 × 2.5 cm = 5 cm