The north-eastern region of Brazil, particularly the Caatinga, experiences a semi-arid climate characterized by low and irregular rainfall. This makes the area prone to frequent droughts, which limit reliable agricultural production and hinder human settlement.
Rainfall regime: High variability and frequent droughts restrict dependable yields, discouraging agricultural development.
Chronic water scarcity affects soil fertility and agricultural potential. Due to limited irrigation and infertile land, large-scale farming is not feasible. Consequently, population density is far lower compared to fertile regions like the Amazon Basin or coastal plains.
Feedback effect: Limited water availability reduces investment opportunities, reinforcing sparse settlement patterns.
Frequent droughts worsen living conditions, causing migration to other regions with better rainfall and economic opportunities. The harsh environment discourages long-term settlement and development.
Migration note: Recurrent droughts lead to out-migration toward wetter and economically stronger regions of Brazil.
\[ \textbf{Settlements are sparse in North-Eastern Brazil due to water scarcity, poor soil, and frequent droughts.} \]

In the following figure \(\triangle\) ABC, B-D-C and BD = 7, BC = 20, then find \(\frac{A(\triangle ABD)}{A(\triangle ABC)}\). 
The radius of a circle with centre 'P' is 10 cm. If chord AB of the circle subtends a right angle at P, find area of minor sector by using the following activity. (\(\pi = 3.14\)) 
Activity :
r = 10 cm, \(\theta\) = 90\(^\circ\), \(\pi\) = 3.14.
A(P-AXB) = \(\frac{\theta}{360} \times \boxed{\phantom{\pi r^2}}\) = \(\frac{\boxed{\phantom{90}}}{360} \times 3.14 \times 10^2\) = \(\frac{1}{4} \times \boxed{\phantom{314}}\) <br>
A(P-AXB) = \(\boxed{\phantom{78.5}}\) sq. cm.