Mathematics 10 Quarter 1

1. Given an equation of a circle, what is the first step to sketch its graph?

2. Situations: The Provincial Disaster and Risk Reduction Management Committee (PDRRMC) advised the residents living within the 10 km radius critical area  to evacuate due to eminent eruption of a volcano. The equation of the critical area is represented by the equation

          (x -3) + (y-4)= 100 and each unit on the coordinate plane is equivalent to 1 km.

If a family live at point (11, 6). Would they follow the advice of the PDRRMC to evacuate? Why?

3. As a photographer, Mr. Joel Pariñas wants to take the best picture of the Paco Volcano( also known as Maniayao) in Surigao del Norte for its breached crater and andesitic lava domes. Since there is no imminent magmatic eruption, he intends take his shot 6 kilometers from the volcano. His basis for the distance is the advisory of DOST-PHILVOCS that the Permanent Danger Zone is 6 kilometer radius. Is Mr Pariñas safe to take his pictures? Why or why not?

Given: x2 +y2= 81