1.A circular path runs around a circular plot .If the circumference of the plot and path are 40 m and 84 m respectively ,find the width of the path.
2.The difference between area and the square of the radius of a circle is 105 cm2(cmsquare). Find the circumference of the circle.
3.A circular park of radius 14m has a road of 7m width all around on it's outside.find the area of the road.
I didn't understand these questions. So if u can give a short explanation to some steps I would be grateful.I will mark the best answer brainlist
Answers
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Step-by-step explanation:
1)circumference of path=88$$m
⇒2πr=88
⇒2.
7
22
.r=88
⇒r=14m
circumference of plot=44m
⇒2πr
′
=44
⇒2.
7
22
.r
′
=44
⇒r
′
=7m
therefore width of path=r−r
′
=14−7
=7m
2)Circumference =100 cm
Let radius of circle be r cm
Now, 2πr=100
r=
2π
100
=
π
50
Diagonal of square = Diameter of circle =2r=
π
100
Let the side of the square =a cm
Now, diagonal of square =
a
2
+a
2
=
2
a
⇒
π
100
=
2
a
⇒a=
2
π
100
⇒a=
2π
100
2
⇒a=
π
50
2
cm
3)
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