Diagram shows the waves formed when a stone is thrown into the water.each wave has the shape of a circle and isaway from the one before it.
a)show that the circumferences of the waves form an arithmetic progression and find the common difference.
b)If the radius if the smallest wave is, find the radius of the tenth wave.Hence,find its circumference in term of
Originally Posted by mastermin346
Diagram shows the waves formed when a stone is thrown into the water.each wave has the shape of a circle and is
a)show that the circumferences of the waves form an arithmetic progression and find the common difference.
b)If the radius if the smallest wave is
Hi mastermin346,
(a)
The radius of the inner circle is r cm.
The radius of the middle circle is 2r cm.
The radius of the outer circle is 3r cm.
The circumferences form an arithmetic progression with a common difference of
(b)
The radius of the inner circle is 4 cm.
The radius of the middle circle is 8 cm.
The radius of the outer circle is 12 cm.
The common difference in the sequence of circumferencesis
The common difference in the radius sequence of 4, 8, 12,..... is 4
To find the radius of the 10th circle use
Use this radius of the 10th circle to compute the circumference:
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