We are given a circle with radius r = 13 units and an arc AB of 51 degrees. We need to find the area of the sector formed by this arc.
Step 2: Recall the formula for the area of a sector
The formula for the area of a sector is (θ/360) * πr², where θ is the central angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14159.
Step 3: Substitute the given values into the formula
Substituting the given values into the formula, we get:
Area = (51/360) * π * (13)²
Step 4: Calculate the area
Performing the calculation, we get:
