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What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
What is the the length of the diagonal of a 10 cm by 15 cm rectangle?
Use Pythagoras: diagonal² = length² + width² → diagonal² = (10 cm)² + (15 cm)² → diagonal = √(10² + 15²) cm = √325 cm = 5 √13 cm ≈ 18 cm
How do you find the area of a rectangle with the diagonal of 13 and a width of 5?
if a rectangle has width of 5 and diagonal with lenght of 13, what is the area of the rectangle? Use Pythagoras' theorem to find the length of the rectangle which will be 12 5*12 = 60 square units
What is the Difference between linear foot and square foot?
A linear foot is distance. A square foot is area. One square foot is the area of some square tiles used on floors. Ten square feet is 1 foot x 10 feet or 2 feet x 5 feet. Don't confuse this with a 10 foot square which is 10 feet by 10 feet which equals 100 square feet.
13. The astronomy observatory pictured below has a diameter of 10 feet. a. What is the area of the floor?
Assuming your picture shows a circular floor, the area of a circle with a radius of 5 feet is approx. 78.54 square feet
