Find the area of a circle in which a rectangle with sides of 16 cm and 30 cm is inscribed.

Draw a circle and a rectangle inscribed in it. Let’s mark the known sides on it and draw a diagonal. Consider a right-angled triangle. We know of two legs, which are 16 and 30cm each. Let’s find a hypothesis according to the Pythagorean theorem.
16 ^ 2 + 30 ^ 2 = C ^ 2
C ^ 2 = 256 + 900
C ^ 2 = 1156
C = 34 (the hypotenuse of the triangle and the diameter of the circle)
Then the radius of the circle is 34 ÷ 2 = 17
SOCR = пR ^ 2 = 17 ^ 2п = 289п
Answer: 289п