E-notation: A scientific notation displays a numeric value in an exponential notation. The exponential notation is represented by “E”. E-notation replaces a part of a number with “E + n”, “E” multiples the previous number by “10” to the “nth” power. The notation “E” is the power of “n”. Example to represent the E-notation: Consider the number “64392.86”. Step1: Convert a number given to the scientific notation. In scientific format, a number “64392.86” is represented as 6.439286 × 10 4 , where 10 4 is equal to “10000” and “ 6.439286 × 10000 ” is equal to “64392.86”. Here, the first part, “6.439286” is represented as “mantissa” and “mantissa” is multiplied by the power of “10”. Step 2 : Convert the scientific format to E-notation. The number “ 6.439286 × 10 4 ” is represented in E-notation as “6.439286E4”, where “E” is the power of “10”.

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3. Problem Description: Define the Circle2D class that contains: Two double data fields named x and y that specify the center of the circle with get methods. • A data field radius with a get method. • A no-arg constructor that creates a default circle with (0, 0) for (x, y) and 1 for radius. • A constructor that creates a circle with the specified x, y, and radius. • A method getArea() that returns the area of the circle. • A method getPerimeter() that returns the perimeter of the circle. • • • A method contains(double x, double y) that returns true if the specified point (x, y) is inside this circle. See Figure (a). A method contains(Circle2D circle) that returns true if the specified circle is inside this circle. See Figure (b). A method overlaps (Circle2D circle) that returns true if the specified circle overlaps with this circle. See the figure below. р O со (a) (b) (c)< Figure (a) A point is inside the circle. (b) A circle is inside another circle. (c) A circle overlaps another…

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Chapter 2.11, Problem 2.19CP

Program Plan Intro

E-notation:

A scientific notation displays a numeric value in an exponential notation.

The exponential notation is represented by “E”.

E-notation replaces a part of a number with “E + n”, “E” multiples the previous number by “10” to the “nth” power.

The notation “E” is the power of “n”.

Example to represent the E-notation:

Consider the number “64392.86”.

Step1: Convert a number given to the scientific notation.

In scientific format, a number “64392.86” is represented as 6.439286 ×104 , where 104 is equal to “10000” and “ 6.439286 ×10000 ” is equal to “64392.86”. Here, the first part, “6.439286” is represented as “mantissa” and “mantissa” is multiplied by the power of “10”.

Step 2: Convert the scientific format to E-notation.

The number “ 6.439286 ×104 ” is represented in E-notation as “6.439286E4”, where “E” is the power of “10”.

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3. Problem Description: Define the Circle2D class that contains: Two double data fields named x and y that specify the center of the circle with get methods. • A data field radius with a get method. • A no-arg constructor that creates a default circle with (0, 0) for (x, y) and 1 for radius. • A constructor that creates a circle with the specified x, y, and radius. • A method getArea() that returns the area of the circle. • A method getPerimeter() that returns the perimeter of the circle. • • • A method contains(double x, double y) that returns true if the specified point (x, y) is inside this circle. See Figure (a). A method contains(Circle2D circle) that returns true if the specified circle is inside this circle. See Figure (b). A method overlaps (Circle2D circle) that returns true if the specified circle overlaps with this circle. See the figure below. р O со (a) (b) (c)< Figure (a) A point is inside the circle. (b) A circle is inside another circle. (c) A circle overlaps another…

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