Area of Circular Pathways

Q. The radius of a circular park is 28m.There is a road of uniform width around the park, which is 7m wide.What is the area of the road?

1. $1225m^2$
2. $1386m^2$
3. $1005m^2$
4. $1441m^2$

Q. If the radii of two concentric circles are 15 cm and 13 cm, respectively, then the area of the circular ring in sq. cm will be

1. 176 sq.cm
2. 178 sq.cm
3. 180 sq.cm
4. 200 sq.cm

Q. The radius of a circular pond is 7 m. What will be the total cost to pave a circular path of width 7m around the pond at the rate of Rs.10 per $m^2$

1. Rs. 2840
2. Rs. 2110
3. Rs. 4620
4. Rs. 3250

Q. Find area of the green track whose width is 2 m, if in rectangles PQRS and ABDC, AB = 6 m and BD=SR=PQ = 8 m. (use $\pi =3.14$)

1. 13.26 $m^2$
2. 39.78 $m^2$
3. 76.28 $m^2$
4. 97.24 $m^2$

Q. If area of the ring is $\frac{352}{7}$ $c{m}^2$ and inner radius is 3 cm, then find the circumference of outer circle.

1. $\frac{110}{7}$ cm
2. $\frac{220}{7}$ cm
3. $\frac{440}{7}$ cm
4. $\frac{880}{7}$ cm

Q. Find the area of circular path(shaded region), if in rectangle ABCD and PQRS, AB=PQ=10 cm, BC= 6 cm, BQ=RC=AP=SD= 1 cm. (take $\pi$=3.14)

1. 31.4 $c{m}^2$
2. 82.8 $c{m}^2$
3. 62.8 $c{m}^2$
4. 35.7 $c{m}^2$

Q.

The shaded portion in the adjoining figure shows a circular path enclosed by two concentric circles. If the inner circumference of the path is 176 m and the uniform width of the circular path is 3.5 m, find the area of the path.

1. 654.5 $m^2$​
2. 754.5 $m^2$​
3. 854.5 $m^2$​
4. 554.5 $m^2$​

Q. If the radius of a circle is increased by 50% then the area of the circle is increased by ?

1. 125%
2. 100%
3. 75%
4. 50%

Q. If the sum and the difference of the radii of two concentric circles are 7 cm and 3 cm respectively, then find the area in between those circles.

1. 11 $c{m}^2$
2. 33 $c{m}^2$
3. 66 $c{m}^2$
4. 132 $c{m}^2$

Q. Front side wall of a house consists of a rectangle of $6$ m $\times$ $4$ m surrounded by a semicircle with base $4$ m It has two isosceles triangles make with vertical sides of the rectangle The net area of the wall in sq m is :

1. $4(15+\pi )$
2. $4(24+\pi )$
3. $4(18+\pi )$
4. $64+4\pi$

Q. Pair of concentric circle are given, find the area of shaded region if radius of smaller and bigger circle are 7 cm and 14 cm respectively.

1. 154 $c{m}^2$
2. 462 $c{m}^2$
3. 616 $c{m}^2$
4. 308 $c{m}^2$

Q. Pair of concentric circle are given, find the area of shaded region if radius of smaller and bigger circle are 7 cm and 14 cm respectively.

1. 154 $c{m}^2$
2. 308 $c{m}^2$
3. 462 $c{m}^2$
4. 616 $c{m}^2$

Q. The diameter of a circle is $7$ cm. Which one of the chords are closest to the center?

1. $BC=3$ cm
2. $AB=2$ cm
3. $EF=3$ cm
4. $GH=6$ cm