Question

Q29. Find the diameter of a circle
whose area is 154 cm?.
2 points
O A. 4 cm
O B. 41cm
O C. 2 cm
O D. 14 cm
tell me the correct option​

Answer 1

Answer:

14cm

Step-by-step explanation:

πr²=154

r²=49

r=7

Therefore diameter will be 14cm

Answer 2

$\large\underline{\underline\mathrm\red{QUESTION}}$

Find the diameter of a circle

whose area is 154 cm?.

O A. 4 cm

O B. 41cm

O C. 2 cm

O D. 14 cm

$\large\underline{\underline\mathrm\purple{SOLUTION}}$

GIVEN

• Area of circle = 154cm²

TO FIND

• Diameter of the circle.

FORMULA

Area of circle =

$\pi \: r ^{2}$

ACCORDING TO QUESTION

$\bold{A =\pi r²}$

$\bold{\implies 154 =\frac{22}{7} r²}$

$\bold{\implies 154× \frac{7}{22}=r²}$

$\bold{\implies 7×7 =r²}$

$\bold{\implies\sqrt{7×7}=r}$

$\bold{\implies7=r}$

THEREFORE

• DIAMETER = 2× radius

$\bold{\leadsto d =2×7}$

$\bold{\leadsto d =14}$

$\large\bold{\boxed{Option\:D\:is\:correct}}$