Answer : The area of the shape is, 50.24 unit square.
Step-by-step explanation :
To calculate the the area of shaded sector in the circle in degree, the formula used as:
![A=(\theta)/(360)* \pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wfuutzcfgpd6x2u026w099is25k7svzs87.png)
where,
A = area of sector
= angle = 90°
r = radius of circle = 8 unit
Now put all the given values in the above formula, we get:
![A=(90)/(360)* 3.14* (8)^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/swrqarlp3c1wmr2vwlw9wwr8aq91zny7ym.png)
![A=50.24](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ioijh68h5auu5taipg0dky43niyptforn1.png)
Therefore, the area of the shape is, 50.24 unit square.