Question

In the given figure, sectors of two concentric circles of radii 3.5 cm and 1.75 cm are shown, then the area of the shaded region is​

Answer 1

Answer:

option b is the right answer

Step-by-step explanation:

First we calculate the sector area of redii 3.5

we find 77/24

then we Calculate the sector area of redii 1.75

We find 77/96

then we substract the 1.75 redii sector area to 3.5 redii sector area

77/24_77/96

308_77/96

231/96

77/32square cm

Answer 2

Given  : Sectors of two concentric circles of radii 3.5 cm and 1.75 cm are shown

To Find :  Shaded Area between two sectors

Solution:

Area of a sector = (Sector angle in degrees / 360°)π(radius)²

Sector angle = 30°

radius are = 3.5 cm and 1.75 cm

Shaded Area between two sectors = (30/360)π (3.5² - 1.75²)

= (1/12)π ( (7/2)² - (7/4)²)

=  (1/12)π ( 49/4  - 49/16)

= (1/12)π (49/16)(4 - 1)

= (1/12)π (49/16)(3)

=  (1/4)π (49/16)

= π (49/64)

π  = 22/7

= (22/7)(49/64)

= 22(7/64)

= 11(7/32)

= 77/32

Hence  the area of the shaded region is​ 77/32 cm²

Correct option is b)

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