Question

if the area of the shaded region given in Figure 2 is 39. 47 CM raise to power to find the radius of the circles​

Answer 1

$\large{\underline{\underline{\mathfrak{\pink{\sf{Answer-}}}}}}$

$\large{\underline{\boxed{\blue{\sf{r=7.73cm^2}}}}}$

$\large{\underline{\underline{\mathfrak{\pink{\sf{Explanation-}}}}}}$

$\orange{\boxed{\pink{\underline{\red{\mathfrak{Given-}}}}}}$

• Area of shaded reason = 47 cm²

$\orange{\boxed{\pink{\underline{\red{\mathfrak{To\:find-}}}}}}$

• Radius of circle

$\orange{\boxed{\pink{\underline{\red{\mathfrak{Formula\:used-}}}}}}$

• Area of quadrant = $\dfrac{1}{4}$πr²

$\orange{\boxed{\pink{\underline{\red{\mathfrak{Solution-}}}}}}$

The shaded reason shown in the attachment is of a quadrant.

$\implies$ 47 = $\dfrac{1}{4}{22}{7}$r²

$\implies$ r² = $\dfrac{47×7×4}{22}$

$\implies$ r² = $\dfrac{1316}{22}$

$\implies$ r² = 59.82

$\implies$ r = √59.82

$\large{\underline{\boxed{\blue{\sf{r=7.73cm\:(approx)}}}}}$

Therefore, radius of the circle = 7.73 cm ( approx )

________________________

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#BAL

Answer 2

$\huge{\text{\underline{\underline{\red{Solution:}}}}}$

$\sf{47 = \frac{1}{4} 227 {r}^{2} }$

$\sf{{r}^{2} = \frac{47 \times 7 \times 4}{22} }$

$\sf{{r}^{2} = \frac{1316}{22} }$

$\sf{{r}^{2} = 59.82}$

$\sf{ r = \sqrt{59.82} }$

$\huge{\bf{\fbox{\pink{r=7.73}}}}$

$\large{\text{\blue{Therefore\:radius\:of\: circle\: is\: 7.73}}}$