Question

Find the area of the shaded region...
questions for 50 points, please answer!!​

Answer 1

Answer:

The area of the shaded sector of the circle is A = (θ / 2) × r2 where θ is in radians or (θ / 360) × πr2 where θ is in degrees. Let's see how we will use the concept of the sector of the triangle to find the area of the shaded sector of the circle.

please

Answer 2

Given ABCD is a rectangle inscribed in a circle.

AB=12cm and BC=5cm

Area of rectangle ABCD=AB∗BC=12∗5=60cm

In rectangle ABCD; ∠ABC=90°

According to Central Angle Theorem; ∠AOC=180°

It means AC is diameter of circle and also hypotenuse of right triangle ABC.

Using Pythagoras Theorem in right triangle ABC;

AC^2 =AB^2+BC^2=12^2+5^2

AC^2 =144+25=169

AC= √169

AC =13cm

Diameter,AC=13cm

Area of circle =πr ^2

=3.14∗7.5^2 =132.665cm

Area of shaded region = Area of circle − Area of rectangle =132.665−60=72.665cm

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