The circle below has center O, and its radius is 6 m. Given that m ZAOB = 160°, find the length of the arc ADB and the area of the shaded region. Give exact answers in terms of pi, and be sure to include the correct units in your answer.

How can we find the measure of an exterior angle if we know the measurement of an interior angle

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Carmen ayer en el mercado compro 3/4 kg de guayabas, 6/8 kg de peras, 1/2 kg de naranjas ¿cuantos kilogramos de fruta compro?