A city planner is designing a circular park with a radius of 120 metres
MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A city planner is designing a circular park with a radius of 120 metres. A straight pedestrian walkway cuts through the park, forming a chord that subtends an angle of 32π radians at the center of the park. The smaller region created by this walkway will be covered in expensive decorative paving, and a security fence will run exactly along the curved edge of this smaller region. Calculate the total length of the fence required and the total area of the decorative paving. In your response, clearly identify the relevant mathematical elements from the scenario, justify the degree of accuracy you choose for your final measurements based on construction standards, and explain whether your calculated area makes sense in the context of the entire park's dimensions.