Advertisements
Advertisements
प्रश्न
Find the area of the shaded region:
Advertisements
उत्तर
∵ Diameter of complete circle = 14 cm
∴ Radius = `14/2` = 7 cm ...`[∵ "Radius" = "Diameter"/2]`
So, area of complete circle = πr2 = `22/7 xx 7 xx 7` = 154 cm2
∵ Diameter of small circle = `7/4`cm
∴ Radius = `7/(4 xx 2) = 7/8`cm
∴ Area of two small circles = 2 × πr2
= `2 xx 22/7 xx 7/8 xx 7/8`
= `77/16`cm2
∴ Area of shaded region = Area of complete circle – Area of two small circles
= `154 - 77/16`
= `(154 xx 16 - 77)/16` ...[Taking LCM]
= `(2464 - 77)/16`
= `2387/16`
= `149 3/16`cm2
Hence, the area of shaded region is `149 3/16`cm2.
APPEARS IN
संबंधित प्रश्न
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)
The base of an isosceles triangle measures 80 cm and its area is 360 cm2. Find the perimeter of the triangle.
The area of a square filed is 8 hectares. How long would a man take to cross it diagonally by walking at the rate of 4 km per hour?
A circular field has a perimeter of 650 m. A square plot having its vertices on the circumference of the field is marked in the field. Calculate the area of the square plot.
Find the area of a shaded region in the the following figure,where a circular arc of radius 7 cm has been drawn with vertex A of an equilateral triangle ABC of side 14 cm as centre. (Use π = 22/7 and \[\sqrt{3}\] = 1.73)
The area of incircle of an equilateral triangle is 154 cm2 . The perimeter of the triangle is
The area of a circle whose area and circumference are numerically equal, is
If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then ______.
The circumference of a circular park is 352 m. Find the area of the park
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is ______.
