Question

Find the area of each of the following figures.
(a)
(b)
16 cm
6 cm
10 cm
4 cm​

Answer 1

Answer:

GivenAB=16cm.i.eAO=OB=

2

16

cm=8cmanddia.CD=dia.AB=16cm.

∴arcirclewithdiameterAO=π×(

2

1

AO)

2

=π×(

2

1

×8)

2

=16πcm

2

.

Alsoar.shadedportioninthesemicircleBCD

=(arsemicirclewithdiameterCD−arΔBCD).

=

2

1

×π×OB

2

−

2

1

×CD×OB=(

2

1

×π×8

2

−

2

1

×16×8)cm

2

=(32π−64)cm

2

.

Soar.shadedportion

=arcirclewithdiameterAO+(arsemicirclewithdiameterCD−arΔBCD).

=(16π+32π−64)cm

2

=(48π−64)cm

2

.

Ans−arshadedportion=(48π−64)cm

2

.