Question

find the area of the shaded region of circle in figure 15.3 1​

Answer 1

${\huge{\colorbox{crimson}{●ANSWER●:-}}}$

$we have to find the area of the shaded region in the adjoining figure</p><p>Diameter of biggest circle=28 cm \\ </p><p>⇒ Radius=14 cm \\ </p><p>Radius of biggest circle is the diameter of smaller circle \\ </p><p>Radius of smaller circle=7 cm \\ </p><p>\text{Area of biggest circle }=\pi r^2Area of biggest circle =πr2</p><p>                                       =\pi (14)^2=196\pi cm^2 \\ =π(14)2 \\ =196πcm2</p><p>\text{Area of 2 smaller circle }=2(\pi r^2)Area of 2 smaller circle =2(πr2)</p><p>                                       =2(\pi (7)^2=98\pi cm^2 \\ =2(π(7)2 \\ =98πcm2</p><p>\text{Area of shaded region }=196\pi -98\pi =98\pi \\ =98\times \frac{22}{7} \\ =308 cm^2 \\ Area of shaded region =196π−98π \\ =98π \\ =98×722 \\ =308cm2 \\</p><p>$