Question

The adjoining circle with centre O has a radius of 14 cm. ABCD is a square drawn inside the circle. Calculate the area of the shaded region. D A B e) The shape alongside is one-quarter of a circle, with radius of 14 cm. Find (i) the length of arc AB (ii) the perimeter of the figure (iii) the area of the figure (iv) the area of AAOB (v) the area of the shaded segment. 70 cm Find the perimeter and the area of the adjoining shape. 35 cm 70 cm​

Answer 1

To find the area of the shaded region, subtract the area of the square from the area of the circle. The area of the shaded region is 419.44 cm².

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the square from the area of the circle. The area of the square is calculated by multiplying the length of one side by itself, which in this case is 14 cm * 14 cm = 196 cm². The area of the circle is calculated using the formula A = πr², where r is the radius.

So, the area of the circle is 3.14 * (14 cm)² = 615.44 cm². Subtracting the area of the square from the area of the circle gives us 615.44 cm² - 196 cm² = 419.44 cm². Therefore, the area of the shaded region is 419.44 cm².