Question

A circular lid of radius 14 cm has four circular holes of diameter 1.4 cm each. Find the
area of the lid.​

Answer 1

Answer:

radiusof the lid=14 cm

area of lid= area of the whole lid-are of the 4 holes combined

area of whole lid=616cm2

radius of 1 hole=0.7 cm

area of 1 hole=1.54 cm2

area of 4 holes=6.16cm2

area of lid=609.84cm2

This is hopefully right

THX

Step-by-step explanation:

Answer 2

Answer:

$\large\boxed{\sf{609.2856\:{cm}^{2}}}$

Step-by-step explanation:

Radius of Circular lid, R = 14 cm

Therefore,

Area of the whole lid,$A=\pi {R}^{2}$

$= > A= \pi \times {(14)}^{2} \\ \\ = > A = 196\pi$

Now,

Diameter of wholes = 1.4 cm

Radius of wholes, r = 0.7 cm

Therefore,

Area of all 4 wholes, $a=4\pi {r}^{2}$

$= > a = 4\pi \times {(0.7)}^{2} \\ \\ = > a = 4 \times 0.49\pi \\ \\ = > a = 1.96\pi$

Therefore,

Required area of the lid = (A - a)

$= 196 \pi- 1.96\pi \\ \\ = 194.04\pi \\ \\ = 194.04 \times 3.14 \\ \\ = 609.2856 \: {cm}^{2}$