Question

the area of a circular plate is 77.5cm² , what is the diameter of the plate.The answer is given 7 cm. ANSWER THIS Q. CORRECTLY
​

Answer 1

Given :-

The area of a circular plate is 77.5cm²

To Find :-

We have to find the diameter of the circular plate

Solution :-

The area of a circular plate = 77.5cm²

As we know that,

Area of circle = πr²

Subsitute the required values,

77.5 = 22/7 * r²

r² = 77.5 * 7/22

r² = 542.5/22 = 24.65

r = 4.96

Now ,

We have to find the diameter of the plate

Therefore,

Diameter = 2 * r

Diameter of the circular plate = 9.92cm

Hence, The diameter of the circular plate is 9.92cm $.$

Answer 2

Given :-

• Area of circular plate = 77.5 cm²

To find :-

• Diameter of plate

Formula to remember :-

• Area of circle = πr²
• Diameter = 2(radius)

Solution :-

➣ Area of circle = 77.5 cm²

↪ πr² = 77.5

↪ 22/7 × r² = 77.5

↪ r² = 77.5 × 7/22

↪ r² = 77.5 × 0.318

↪ r² = 24.65

↪ r = 4.96 cm

╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌╌

Now,finding the radius of diamter :-

➣ Diameter = 2(r)

↪ D = 2(4.96)

↪ D = 9.92 cm

∴ , Diameter of circular plate = 9.92 cm.