The perimeter of a rectangular field is 240 if its length is 90 find its breadth and its area the perimeter of a circle is 176 cm find its radius also
Answers
1. The perimeter of a rectangular field is 240m if its length is 90m. Find its breadth.
Let the breadth of field = b
Perimeter of a rectangle = 2 ( length + breath )
⟹ 240m = 2( 90m + b )
⟹ 240m = 180m + 2b
⟹ 240m - 180m = 2b
⟹ 60m = 2b
⟹ 60m/2 = b
⟹ 30m = b
The breath of the field is 30m
2. If area the perimeter of a circle is 176 cm. Find its radius.
Let it's radius be r
Perimeter of a circle = 2πr
⟹ 176cm = 2πr
⟹ 176cm/2 = πr
⟹ 88cm = πr
⟹ 88cm = 22/7 × r
⟹ 88cm × 7/22 = r
⟹ 4cm × 7 = r
⟹ 28cm = r
Radius of the circle is 28cm.
Answer:
breadth=30 ; radius=28
Step-by-step explanation:
given perimeter of rectangular field= 240
length of the rectangular field= 90
we know that perimeter of rectangle=2(l+b)
240= 2(l+b)
120=l+b
therefore l=90
breadth = 120-90
breadth= 30
given perimeter of circle = 176 cm
we know that perimeter of circle=2πr
2πr = 176
πr = 88
r= 88/π. (π= 22/7)
r= 88×7/22
r= 28 cm
therefore radius of circle= 28 cm