SOLUTION: The diagram shows an ancient coin which was used in China. The coin is a circle of 3cm with a square of X Cm removed from its centre .
(a) find an expression for the area of one s
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Question 972919: The diagram shows an ancient coin which was used in China. The coin is a circle of 3cm with a square of X Cm removed from its centre .
(a) find an expression for the area of one side of the coin in terms of X and π.
(b) The area of one side of the coin is 7πcm².
Find the area of the square by performing an equation in x.
(Take π to be 3.14)
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
PART A:
The question is unclear. We will assume X=side of square.
If 3cm=radius of coin:
.
If 3cm=diameter of coin:
.
If 3cm=circumference of coin:
.
PART B:
Since 3cm as radius yields the only workable solution, we will use that as example:
.
Subtract 7(pi)cm^2 from each side
Add X^2 to each side.
Since X=side of square, area of square=
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