Question

In the adjoining figure, the area of the shaded region (in cm) is
14 cm
(a) 324
(c) 462
(b) 428
(d) 492
7 cm
28 cm​

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

If all the given figures are semi-circles :

= > Area of the shaded region = Area of semi-circle of radius 14 cm + 2 ( area of semi-circles of radius 7 cm )

We know,

• Area of circle : πr^2 , where r is the radius of that circle.
• Area of Semi-circle = 1 / 2 πr^2 , where r is the radius of that circle.

= > Area of shaded region = 1 / 2 π( 14 cm )^2 + 2[ 1 / 2 π( 7 cm )^2 ]

= > Area of shaded region = 1 / 2 π[ 196 cm^2 + 2( 49 cm^2 ) ]

= > Area of shaded region = 1 / 2 π ( 294 cm^2 )

= > Area of shaded region = 462 cm^2

Hence the area of the shaded region is 462 cm^2.

Answer 2

Answer:

Area of big semi circle=1/2(πr^2)

=1/2 (π×14cm^2)

=1/2π(196)

Area of small twosemicircl.

=1/2π(49+49)

= 1/2π(98)

At,last

Total area.

= 1/2π(196+98)

= 1/2π(196+98)

=461.814

Therefore answer is """''C""'''

Step-by-step explanation: