Two cities, A and B, are 6500 miles apart. The radius of the Earth is approximately 4000 miles. Express angle θ in radians and in degrees.

Express angle θ in radians.

θ = ___ radians (Type an integer or a decimal.)

To calculate the angle θ between two cities situated 6500 miles apart on the Earth, given that the radius of the Earth is approximately 4000 miles, we can use the formula for arc length on a circle. We have the formula arc length = θ × radius. First, we solve for θ in radians. θ = arc length / radius = 6500 miles / 4000 miles = 1.625.

Next, to express this angle in degrees, we use the conversion ratio that π radians = 180 degrees.

θ in degrees = 1.625 × (180/π) = 93.3 degrees (rounded to one decimal place).

The angle θ is therefore 1.625 radians or 93.3 degrees.

Two cities, A and B, are 6500 miles apart. The radius of the Earth is approximately 4000 miles. Express angle θ in radians and in degrees.Express angle θ in radians.θ = ___ radians (Type an integer or a decimal.)

Answer :

Final answer:

Explanation:

Other Questions

Two cities, A and B, are 6500 miles apart. The radius of the Earth is approximately 4000 miles. Express angle θ in radians and in degrees.

Express angle θ in radians.

θ = ___ radians (Type an integer or a decimal.)