Final answer:
The measure of angle jik in circle i can be found using the formula for the area of a sector. The area of a shaded sector is proportional to the measure of the angle forming the sector. By setting the given values into the formula and solving the equation, we can find the measure of angle jik.
Step-by-step explanation:
The measure of angle jik in circle i can be found using the formula for the area of a sector. The area of a shaded sector is proportional to the measure of the angle forming the sector.
By setting the given values into the formula and solving the equation, we can find the measure of angle jik.
Step 1: Use the formula for the area of a sector: A = (πr²θ) / 360°, where A is the area, r is the radius, and θ is the angle.
Step 2: Substitute the given values and solve for the angle: A = (π(10)²θ) / 360° = 25π / 9° = θ.