STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $d = 7.5\, \text{cm}$ we have:
$$ 7.5\, \text{cm} = 2 \cdot r $$ $$ r = \dfrac{ 7.5\, \text{cm} }{ 2 } $$ $$ r = 3.75\, \text{cm} $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = r^2 \cdot \pi $$After substituting $r = 3.75\, \text{cm}$ we have:
$$ A = \left( 3.75\, \text{cm} \right)^{2} \cdot \pi $$ $$ A = 14.0625\, \text{cm}^2 \cdot \pi $$