Calculating Areas of Composite Shapes and Circles

A rectangular garden measures 10 meters by 5 meters. In the center, there is a circular pond with a radius of 2 meters. What is the area of the garden that is not occupied by the pond?

• 37.43 square meters

• 40 square meters

• 50 square meters

• 25 square meters

A playground consists of a rectangular area measuring 20 meters by 15 meters, with a circular sandbox in the middle that has a radius of 3 meters. Calculate the area of the playground that is not taken up by the sandbox.

• 271.73 square meters

• 280 square meters

• 250 square meters

• 300 square meters

A swimming pool is shaped like a rectangle measuring 12 meters by 8 meters, with a semicircular section at one end that has a radius of 4 meters. What is the total area of the swimming pool?

• 96 + 8π square meters

• 80 + 4π square meters

• 72 + 6π square meters

• 100 square meters

A park has a rectangular section that is 30 meters long and 20 meters wide, and a circular fountain with a radius of 5 meters in the middle. What is the area of the park excluding the fountain?

• 400 square meters

• 521.46 square meters

• 250 square meters

• 600 square meters

A basketball court is 28 meters long and 15 meters wide, with a circular three-point line that has a radius of 6 meters. What is the area of the court that is outside the three-point line?

• 250 square meters

• 400 square meters

• 150 square meters

• 306.9 square meters

A rectangular field measures 50 meters by 30 meters, and there is a circular flower bed with a radius of 3 meters in one corner. What is the area of the field that is not occupied by the flower bed?

• 1500 square meters

• 1450 square meters

• 1600 square meters

• 1471.73 square meters

A composite figure consists of a rectangle measuring 10 meters by 4 meters and a triangle with a base of 4 meters and a height of 3 meters on top. What is the total area of the composite figure?

• 50 m²

• 40 m²

• 30 m²

• 46 m²

A circular track has a radius of 10 meters, and inside it is a square field with sides of 6 meters. What is the area of the track that is not covered by the field?

• 64 square meters

• 100 square meters

• 50π square meters

• 100π - 36 square meters

A rectangular room is 12 feet long and 10 feet wide, and it has a circular table in the center with a diameter of 4 feet. What is the area of the room that is not occupied by the table?

• 100 sq ft

• 110 sq ft

• 107.44 sq ft

• 95 sq ft

A composite shape is made up of a rectangle that is 15 meters by 10 meters and a semicircle with a diameter of 10 meters attached to one of the shorter sides. What is the total area of the composite shape?

• 100 square meters

• 150 square meters

• 180 square meters

• 189.25 square meters