Question

ti) 56 cm
Find the diameter of circles having the
following areas.
(1) 5544 m2 (ii) 86 5/8 cm (iii) 3461/2 cm​

Answer 1

Answer:

1) 5544*7/22= r^2

r^2=176r=42

d=42*2=84m

2) 693/8=22*r*r/7

(693*7)/(22*8)= r^2

r^2= 27.5625

r= 5.25cm

d= 10.50cm

3) 693/2=22*r*r/7

(693*7)/(22*2)=r^2

r^2= 110.25

r=10.5cm

d= 21cm

Answer 2

1) Diameter = 42 m

2) Diameter = 5.25 cm

3) Diameter = 46.93 cm

Step-by-step explanation:

To find : The diameter of circles having the  following areas ?

Solution :

The diameter of the circle is $d=2r$

The area of the circle is $A=\pi r^2$

1) $A_1=5544\ m^2$

$5544=\frac{22}{7}\times (r_1)^2$

$(r_1)^2=\frac{5544\times 7}{22}$

$r_1=\sqrt{1764}$

$r_1=42\ m$

The diameter is $d_1=2\times 42=84\ cm$

2) $A_2=86\frac{5}{8}=\frac{693}{8}\ cm^2$

$\frac{693}{8}=\frac{22}{7}\times (r_2)^2$

$(r_2)^2=\frac{693\times 7}{22\times 8}$

$r_2=\sqrt{27.5625}$

$r_2=5.25\ cm$

The diameter is $d_2=2\times 5.25=10.5\ cm$

3) $A_3=\frac{3461}{2}\ cm^2$

$\frac{3461}{2}=\frac{22}{7}\times (r_3)^2$

$(r_3)^2=\frac{3461\times 7}{22\times 2}$

$r_3=\sqrt{550.6136}$

$r_3=23.46\ cm$

The diameter is $d_3=2\times 23.46=46.93\ cm$

#Learn more

Find the diameter of circle having the area of 616m.sq​

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