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  • In Figure 2, two concentric circles with centre O, have radii 21 cm and 42 cm. If , find the area of the shaded region.

In Figure 2, two concentric circles with centre O, have radii 21 cm and 42 cm. If \angle AOB= 60^{\circ},, find the area of the shaded region.

 

 

 
 
 
 
 

Answers (1)

Given \rightarrow Bigger circle = C1
               Inner Circle = C2
Radius of Bigger Circle , R = 42 cm
The radius of Inner Circle, r = 21 cm

Angle substracted by shaded region
at the centre = 360^{\circ}-60^{\circ}
                     = 300^{\circ}
Area of the shaded region = \frac{300^{\circ}}{360^{\circ}}\times \pi R^{2}-\frac{300^{\circ}}{360^{\circ}}\times \pi r^{2}
                                    =\frac{5}{6}\pi \left [ 42^{2} -21^{2}\right ]
                                    =\frac{5}{6}\times \frac{22}{7}\times 1323
                                    =3465\, cm^{2}

Posted by

Safeer PP

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