Question

Taking π =3.14, find the diameters of the circles whose areas are:
a. 2826 m^2 b. 7.065mm^2
c.254.34cm^2
​

Answer 1

$\huge✎\fbox \orange{QUE} ST \fbox\green{ION}☟$

Taking π =3.14, find the diameters of the circles whose areas are:

a. 2826 m²

b. 7.065mm²

c.254.34cm²

$\huge \sf { \fcolorbox{green}{g}{❃ \: Explanatation \: ❃}}$

$</p><p>\Large{\underline{\underline{\sf{Given:}}}}$

π =3.14

Area of circle are

a. 2826 ²

b. 7.065mm²

c.254.34cm²

$</p><p>\Large{\underline{\underline{\sf{Find:}}}}$

Diameter of circle

$\Large{\underline{\underline{\sf{Solution:}}}}$

➩ A. 2826 m²

Area of circle = π r ²

2826 m² = 3.14 × r ²

2826 / 3.14 = r ²

900 = r ²

√900 = r

30 = r

Hence , diameter of circle = 30 × 2 = 60m

➩ B. 7.065mm²

Area of circle = π r ²

7.065 mm ² = 3.14 × r ²

7.065 /3.14 = r²

2.25 mm = r²

√2.25 = r

1. 5 mm = r

Diameter = 1.5 + 1.5 = 3 mm

➩ C. 254.34 cm ²

Area of circle = π r ²

254.34 cm² = 3.14 × r ²

254.34 /3.14 = r²

81 cm = r ²

√ 81 = r

9 cm = r

Diameter of circle = 9 + 9 = 18 cm