Hi everyone, today we're going to talk about an important topic in geometry- conic sections, and specifically, we'll focus on circles
Lovejoy Cortez
A circle is the set of all points that are the same distance from a center point. This distance is called the radiusA circle is the set of all points that are the same distance from a center point. This distance is called the radiusNow that we understand what a circle is, let's connect it to something relevant to all of us. Imagine the crater of the Taal Volcano-this is a perfect example of a circle. Its radius is 16 kilometersNow, let's solve a problem related to this circle. A 6.3 magnitude earthquake hit Calaca, Batangas, causing damage to buildings. At the same time, a 5.3 magnitude earthquake struck Calatagan, leading to injuries and service disruptionsHere's the question: With Taal Volcano's crater having a radius of 16 kilometers and determine its center, radius, and it's solutions. What risks do residents in both towns face?Both towns are relatively close to Taal Volcano, which is an active volcano. Even though the earthquakes are not directly caused by the volcano, seismic activity can increase volcanic risks.So, this is the solution:Center:So in summary, understanding the concept of a circle helps us grasp the size and risk posed by Taal Volcano, especially in relation to nearby towns like Calaca and Calatagan