Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
Circle
A circle is simply a closed 2-dimensional curved shape with no edges or corners.
Area of a circle is expressed as;
A = πr²
Where r is the radius of the circle and π is pi ( π = 3.14159 ).
For cake A;
- Radius r = d/2 = 8in/2 = 4in
From the previous expression of area of a circle
Area of A = πr²
Area of A = 3.14159 × (4in)²
Area of A = 3.14159 × 16in²
Area of A = 50.23in²
Hence, the area of the first cake is 50.23in².
For cake B;
- Radius r = d/2 = 12in/2 = 6in
From the previous expression of area of a circle
Area of B = πr²
Area of B = 3.14159 × (6in)²
Area of B = 3.14159 × 36in²
Area of B = 113.1in²
Hence, the area of the second cake is 113.1in².
For cake C;
- Radius r = d/2 = 15in/2 = 7.5in
From the previous expression of area of a circle
Area of C = πr²
Area of C = 3.14159 × (7.5in)²
Area of C = 3.14159 × 56.25in²
Area of C = 176.7in²
Hence, the area of the third cake is 176.7in².
Option B) A₁ = 50.3in², A₂ = 113.1in², A₃ = 176.7in² is the correct answer.
Hence;
Area of the first cake is 50.23in².
Area of the second cake is 113.1in².
Area of the third cake is 176.7in².
Learn more about area of circle here: https://brainly.com/question/3683465
