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A cake shop offers circular cakes with diameters of 8 in., 12 in., and 15 in. Identify the area of each cake
rounded to the nearest tenth.

A Cake Shop Offers Circular Cakes With Diameters Of 8 In 12 In And 15 In Identify The Area Of Each Cake Rounded To The Nearest Tenth class=

Sagot :

Answer: Your answer is B

Step-by-step explanation:

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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;

  • Diameter d = 8in
  • Radius r = d/2 = 8in/2 = 4in
  • Area of A = ?

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;

  • Diameter d = 12in
  • Radius r = d/2 = 12in/2 = 6in
  • Area of B = ?

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;

  • Diameter d = 15in
  • Radius r = d/2 = 15in/2 = 7.5in
  • Area of C = ?

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

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