If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?

x2 + y2 = 26
x2 + y2 = 16
x2 + y2 = 13
x2 + y2 = 11

Find cot x if sin x cot x csc x = √2

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.

Point q is equidistant from the sides of ∠tsr. find m∠rst.