Area of Circular Path

Q. Question 17
Find the area of the shaded region given in figure.

Q.

Question 99

Find the area of the shaded region:

Q. What is the length of the longest chord (in cm) of a circle whose centre is at a distance 4 cm from its circumference?

___

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

Q. The figure shows two circles with the same center. The radius of the larger circle is 10 cm, and the radius of the smaller circle is 4 cm. Find the shaded area between the two circles.

1. $246c{m}^2$
2. $264c{m}^2$
3. $426c{m}^2$
4. $462c{m}^2$
   

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. If the area of rectangle PQRS (green) is 21 $c{m}^2$, AB = 7 cm and width of circular path is 1 cm, then find area of circular path(grey). (take $\pi$ = 3.14)

1. 21.84 $c{m}^2$
2. 44.76 $c{m}^2$
3. 64.24 $c{m}^2$
4. 128.96 $c{m}^2$

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. Area of ring is 28.26 $c{m}^2$ if inner radius is 4 cm, find the outer radius. (take $\pi$ = 3.14)

1. 4.5 cm
2. 6 cm
3. 5.5 cm
4. 5 cm

Q. If sum of inner and outer radius of circular ring is 7 cm and their difference is 1 cm, find the area of the ring.

1. 7 $c{m}^2$
2. 11 $c{m}^2$
3. 14 $c{m}^2$
4. 22 $c{m}^2$

Q.

Area of a sector with angle p (in degrees) of a circle with radius r is

1. × 2πr

2. × 2πr

3. × π

4. × 2π

Q. If inner and outer radius are 1 cm and 2 cm respectively, then find the area of shaded region. (use $\pi =3.14$)

1. $3.14c{m}^2$
2. $6.28c{m}^2$
3. $9.42c{m}^2$
4. $3c{m}^2$

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

Q. If the area of rectangle PQRS (green) is 21 $c{m}^2$, AB = 7 cm and width of circular path is 1 cm, then find area of circular path(grey). (take $\pi$ = 3.14)

1. 21.84 $c{m}^2$
2. 44.76 $c{m}^2$
3. 64.24 $c{m}^2$
4. 128.96 $c{m}^2$

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. Squares of radii of inner and outer circle are 49 and 56 in sqcm, then area between the circles is ____ in sqcm.

1. 11
2. 14
3. 22
4. 28

Q. If the area of rectangle PQRS (green) is 21 $c{m}^2$, AB = 7 cm and width of circular path is 1 cm, then find area of circular path(grey). (Take $\pi$ = 3.14)

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