Find the area and perimeter of a semicircle on top of a rectangle 4in by 6in

General Idea:

The formula to find the area and perimeter of a semicircle is given below, where r is the radius of circle.

Applying the concept:

There are two cases for drawing a semicircle in a rectangle of the given dimension as shown in the attachment.

CASE 1: If the semicircle is drawn on top of the width of rectangle.

Then Diameter = 4 inches & Radius = 2 inches

CASE 2: If the semicircle is drawn on top of the length of the rectangle of the given dimension as shown in the attachment.

Then the Diameter = 6 inches and Radius = 3 inches

i dont know sorry

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places