Let the radius of the ascribed quarter circle be R.
Let the radius of the inscribed circle be r.
Therefore;
2²+(2r)²=R²
4+4r²=R²
Therefore;
R²-4r²=4
Multiplying through by ¼(π).
It implies;
¼(πR²) - πr² = π
Notice.
¼(πR²) = area of the ascribed quarter circle.
πr² = area of the inscribed circle.
Therefore area of the red shaded region in the given quarter circle is;
π square units.
We appreciate you contacting us. Our support will get back in touch with you soon!
Have a great day!
Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support