The figure shows the latitudes of Washington, D. C. and Lima, Peru. The radius of the Earth is approximately 6,370 kilometers. 1. Find the angle at the Earth’s center between radii drawn to Washington and Lima.
2. Find the distance between Washington and Lima. Show your work.
3. A point’s longitude is a measure of its position east or west on the Earth’s surface. In order for your calculation of the distance between Washington and Lima to be accurate, what must be true about the longitudes of the two cities?

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )