The length of a rectangle is three-fifth the
side of a square. The radius of a circle is equal to side of the to Square. The curcumference,
of the Circle is 132 cm. what is the area of
the rectangle if the breadth of the rectangle
is 8cm
Answers
Answer :
Area of rectangle = 100.8 cm²
Explanation :
Given that circumference of circle is 132 cm.
=> 2πr = 132
=> 2 × 22/7 × r = 132
=> r = (132×7)/(22×2)
=> r = 21 cm
Therefore, radius of circle = side of square = 21 cm.
Now, length of rectangle is 3/5th the side of square.
=> Length of rectangle = 3/5 × 21
=> Breadth of rectangle = 8 cm ( given )
We know that,
area of rectangle = length × breadth
=> area of rectangle = 3/5 × 21 × 8
=> area of rectangle = 100.8 cm²
Hence, area of rectangle is 100.8 cm²
Answer:
circumference of circle = 2r
132 cm = 2× × r
132 × × = r
12 × 7 × = r
3 × 7 = r
r = 21
.
.
.
→given : radius of the circle is equal to the side of the square .
therefore : side of the square = 21cm
.
.
.
According to the question ⇒
breadth = 8cm
length = × side of the square
= × 21
.
.
.
wkt : area of the rectangle = length×breadth
.
.
.
therefore⇒
area = 8 × ×21
= 100 . 8
.
.
.
ᴛʜᴇʀᴇғᴏʀᴇ , ᴀʀᴇᴀ ᴏғ ᴛʜᴇ ʀᴇᴄᴛᴀɴɢʟᴇ = 100.8 cm^2
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