Question

a circular portrait photographers diameter 20 cm and is to be placed in a square frame having a circular opening in the middle of diameter 20 CM determine the ratio of the area of the photograph to the area of the frame is a side of the square is 24 cm take Pi 3.14​

Answer 1

The ratio of the area of the photograph to the area of the frame is a side of the square is 157:288

Step-by-step explanation:

Diameter of photograph= 20 cm

Radius of photograph=$\frac{20}{2}=10 cm$

Area of circle = $\pi r^2$

Area of circle = $3.14 \times (10)^2$

Area of circle = $314 cm^2$

Side of sqaure frame = 24 cm

Area of square =$Side ^2 = 24^2=576cm^2$

The ratio of the area of the photograph to the area of the frame is a side of the square=$\frac{314}{576}=\frac{157}{288}$

Hence The ratio of the area of the photograph to the area of the frame is a side of the square is 157:288

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Answer 2

Answer:

The ratio of the area of the photograph to the area of the frame is a side of the square is 157:288

Step-by-step explanation:

Diameter of photograph= 20 cm

Radius of photograph=\frac{20}{2}=10 cm

2

20

=10cm

Area of circle = \pi r^2πr

2

Area of circle = 3.14 \times (10)^23.14×(10)

2

Area of circle = 314 cm^2314cm

2

Side of sqaure frame = 24 cm

Area of square =Side ^2 = 24^2=576cm^2Side

2

=24

2

=576cm

2

The ratio of the area of the photograph to the area of the frame is a side of the square=\frac{314}{576}=\frac{157}{288}

576

314

=

288

157