Question

please guys help 13 and 14

Answer 1

ARYAN......PVT.....LTD.....

Answer 2

13. $\large\underline\mathrm{Solution}$

Area of outer circle = πr²

$\implies$ 289π

$\implies$ 907.9cm²

so, the area of smaller circle = (907.9 - 528)cm²

$\implies$ 379.46cm²

(a) radius of smaller circle $\implies$ √(379.46/π)

$\implies$ √120.78

$\implies$ √10.99cm

(b) width of ring $\implies$ (17 - 10.99)

$\implies$ 6.01cm

14. $\large\underline\mathrm{Solution}$

Area of circular field $\implies$ πr²

$\implies$ 5544m² = 22/7 × r²

$\implies$ 5544/22 × 7 = r²

$\implies$ r² = 1769

$\implies$ r = √1769

$\implies$ r = 42m

Area of circular field + area of path

$\implies$ 5544 + 2002 m²

$\implies$ 7546 m²

Area of circular field + Area of path = πr²

$\implies$ 7546m² = 22/7 × πr²

$\implies$ 7546 × 7 / 22 = r²

$\implies$ r² = 2401

$\implies$ r = √2401

$\implies$ r = 49m

Width of path = 49m - 42m

$\implies$ 7m.