Update index.html

Author: Gmac4247

index.html

@@ -1494,7 +1494,17 @@ <h6 style="font-size:160%;margin:7px">Area of a circle</h6>
   }
 
   const ratio = 2 * height / length;
-  
+	
+  // Segment validity check
+
+  if ( ratio === 1) {
+    document.getElementById('segment-area').innerText = 'If it is twice as long as high that is a semi-circle.';
+    return;
+}
+  if ( ratio > 1) {
+    document.getElementById('segment-area').innerText = 'A circle-segment is less than half as high as long.';
+    return;
+}
 
   const angle = parseFloat(2 * Atan(ratio));
   const sine = parseFloat(sin(angle));
@@ -1780,7 +1790,18 @@ <h6 style="font-size:160%;margin:7px">Area of a circle</h6>
       document.getElementById('cap-volume').innerText = '';
       return;
     }
+	  	  
+// Cap validity check
 
+  if ( height === radius) {
+    document.getElementById('cap-volume').innerText = 'If the radius equals the height that is a hemisphere.';
+    return;
+  }
+	  
+if ( height > radius) {
+    document.getElementById('cap-volume').innerText = 'The height of a spherical cap is shorter than its radius.';
+    return;
+  }
 
     document.getElementById('cap-volume').innerText =
       `Volume: ${capVolume(radius, height).toFixed(5)} cubic units`;