Anthony asked in Science & MathematicsMathematics · 2 months ago

# Find the area of the yellow area?

Help!!!

Relevance
• 2 months ago

Let the side-length of the square be x cm.

2(x/2)^2=7.53^2

=>

x=10.649

=>

x^2=113.4 cm^2

The area of the yellow part

=

pi(7.53^2)-113.4

=

64.73 cm^2

approximately.

• Amy
Lv 7
2 months ago

Draw the diagonals of the red square, dividing it into 4 isosceles right triangles.

What is the area of one triangle?

What is the area of the square?

Now ignore the square. What is the area of the circle?

Subtract.

• 2 months ago

Ac=pi*7.53^2 =178.04cm^2

As= ((7.53*2)^2)/2=113.40

178.04-113.40= 64.64 cm^2

• 2 months ago

Let each side of the square = x cm.

Area of the square = x² cm²

Again for the square ---

Length of the Diagonal = 2 ( 7.53 )  =  15.06 cm

Diagonal is also  = Sqrt of ( 2 x²)

Hence  2 x²  =  15.06² cm = 226.8036

=> x²  =  113.4018 cm²

......................................  .................................

=>  x²  =  113.4018 cm²  ...... This is Area of the square  ........... (1)

-------------------------------  ----------------------------

Area of the Circle  = π R ².... Where R = Radius of the circle in cm

=> Area of the circle  =  π (7.53)²   =  178.13113 cm²

Now Area of the yellow portion (A)  = Area of the Circle - Area of the square

=>  A  =  178.13113 cm² - 113.4018  =   64.7 cm²  ........... Answer

....................................................................

You can also solve this problem even without doing intermediate calculations -

Area (A1) of the circle of radius (R)  =  π R²

Area (A2) of the square = x² ...... where  x cm is length of side of the square

Now for the square --  x² + x²  =  ( 2R )²  =  4 R²

=>  2 x²  =  4 R²   =>  x²  =  2 R²

Hence Area of the square =  2 R²

But Yellow area (A)  =  Area of the circle - area of the square.

=>  A  =  π R² - 2 R²

=>  R² ( π - 2 )  =  (7.53)² ( 3.1416 - 2 )

=> A  =  56.70 * 1.14  =  64.7 cm²  ................ Answer

• 2 months ago

b = 2(7.53) = 15.06 cm

h = 7.53 cm

Area of a square

A = 2(1/2bh)

A(square) = (15.06)(7.53) = 113.4018 cm^2

Area or circle

A(circle) = πr^2 = π(7.53)^2 = 56.7009π cm^2

A = 56.7009π cm^2 - 113.4018 cm^2 = 64.7 cm^2 answer//

• 2 months ago

The area of the yellow region:

The area of the circle - area of the square

= pi 7.53^2 - (1/2)(15.06)^2

= 178.13 - 113.4

= 64.7 cm^2

• 2 months ago

Area circle - Area square

3.14 * 7.53^2 - sqrt(2*7.53^2)^2 = 64.7

64.7

64.7

64.7

64.7

64.7

64.7

64.7

64.7

64.7

64.7

• 2 months ago

it appears the radius of the circle is 7.53 cm

which is half the diagonal of the square, or 15.06 cm

the diagonal divides the square into two isosceles triangles, which have the sides of

15.06/√2 = 10.65

so the area of the square is 10.65² = 113.4 cm²

the area of the circle is πr² = π7.53² = 178.1 cm²

yellow is the diff, 64.7 cm²

• ted s
Lv 7
2 months ago

red area is 2 squares 7.53 by 7.53  as a hint