Question

the area of circle is 220cm find the area of the square inscribed in it

Answer 1

Answer:

140 cm²

Step-by-step explanation:

Find the radius of the circle:

Area = πr²

220 =  πr²

r² = 220 ÷ π

r² = 70

r = √70 cm

Find the diameter:

Diameter = Radius x 2

Diameter = √70 x 2 = 2√70 cm

Find the diagonal of the square:

Diagonal = Diameter of the circle

Diagonal = 2 √70 cm

Define x:

Let x be the length of the square

Find the length of the square:

a² + b² = c²

x² + x² = (2√70)²

2x² = 280

x² = 140

x = √140 cm

Find the area of the square:

Area = Length²

Area = (√140)²

Area = 140 cm²

Answer: The area is 140 cm²