Solving Word Problem Involving Equation of Circle
Read and analyze the given problem. Illustrate the problem and answer the questions that follow.
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. On the map that is drawn on a coordinate plane, the
coordinates corresponding to the location of the volcano is (3, 4).
Illustrate the location of the volcano and the critical area using the Geogebra Applet below.
1. If each unit on the coordinate plane is equivalent to 1 km, what is the standard form and general equation of the circle enclosing the critical area?
2. Suppose you live at point (11, 6), how far is this from the center or the volcano? Would you follow the advice of the PDRRMC? Why?
3. In times of eminent disaster, what precautionary measures should you take to be safe?
Read and analyze the given problem. Illustrate the problem and answer the questions that follow.
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. On the map that is drawn on a coordinate plane, the
coordinates corresponding to the location of the volcano is (3, 4).
Illustrate the location of the volcano and the critical area using the Geogebra Applet below.
ASSESSMENT
Cellular phone networks use towers to transmit calls to a circular area. On a grid of a province, the coordinates that correspond to the location of the towers and the radius each covers are as follows: Wise Tower is at (–5, –3) and covers a 9 km radius; Global Tower is at (3, 6) and covers a 4 km radius; and Star Tower is at (12, –3) and covers a 6 km radius.
1. What equation represents the transmission boundaries of each tower?
2. Which tower transmits calls to phones located at (12, 2)? (–6, –7)? (2, 8)? (1, 3)?
3. If you were a cellular phone user, which cellular phone network will you subscribe to? Why?