📐 geometry

1. **State the problem:** We have two shapes made from identical semicircles. The first shape has three semicircles with a total perimeter of 36 cm. We need to find the perimeter o

1. **State the problem:** We have a shape made of three identical semicircles with a total perimeter of 36 cm. We need to find the perimeter of a new shape made from the same semic

1. **State the problem:** We need to find the bearing of point Y from point W given the angles between rays from W. 2. **Understand bearings:** Bearings are measured clockwise from

1. We are asked to find the arc length of a partial circle with radius $7$. 2. The formula for the arc length $L$ of a circle segment is:

1. **State the problem:** We are given the circumference of a circle as 452.16 units and need to find the radius. 2. **Formula used:** The circumference $C$ of a circle is related

1. **State the problem:** We are given the circumference of a circle as 113.04 units and need to find the diameter. 2. **Formula used:** The circumference $C$ of a circle is relate

1. **State the problem:** We need to find the circumference of a circle with radius $3$ units. 2. **Formula:** The circumference $C$ of a circle is given by the formula:

1. **State the problem:** We are given the diameter of a circle as $16$ units and need to find its circumference. 2. **Formula:** The circumference $C$ of a circle is given by the

1. Find the value of $x$ that makes $m \parallel n$. **a.** Given angles: $100^\circ$ and $2x^\circ$ are corresponding angles.

1. **Problem Statement:** If two parallel lines are cut by a transversal, identify which pairs of angles are congruent and which are supplementary.

1. **Problem Statement:** If two parallel lines are cut by a transversal, identify which pairs of angles are congruent and which are supplementary.

1. The problem states the angles of a quadrilateral are in the ratio 3:4:5:6. We know the sum of angles in any quadrilateral is $360^\circ$. 2. Let the common ratio be $x$. Then th

1. The problem states the angles of a quadrilateral are in the ratio 3:4:5:6. We know the sum of angles in any quadrilateral is $360^\circ$. 2. Let the common ratio be $x$. Then th

1. **Stating the problem:** We need to find the length of side $BD$ in a triangle or geometric figure where $BD=15$ is given. 2. **Formula and rules:** Since the problem references

1. The problem states that the length of segment BD is 15, not AB. 2. To solve any related problem, first identify the segments and their lengths clearly.

1. समस्या को समझें: त्रिभुज ABC में AB = BC और \(\angle ABC = 90^\circ\) है, इसका मतलब ABC एक समद्विबाहु समकोण त्रिभुज है।\n\n2. दिया गया है कि AB = 15 इकाई और AD = 17 इकाई। हमें D

1. **Problem statement:** We have a circle with center O and radius $r$ cm. The line PT is tangent to the circle at point P. The angle $\angle POT = \alpha$ radians. The line OT in

1. **Problem Statement:** Complete the missing edge in each Voronoi diagram and find its equation in the form $ax + by + d = 0$.

1. Problem statement: Find the perimeter of triangle ABC whose vertices are A(2,1), B(5,1), and C(5,5). 2. Formula and rules: We use the distance formula to compute each side lengt

1. The problem is to understand the application of the distance formula in coordinate geometry. 2. The distance formula is used to find the distance between two points in a plane.

1. সমস্যাটি হলো: একটি ত্রিভুজের দুটি কোণ $m=60^\circ$ এবং $n=65^\circ$ এবং পরিসীমা 11 সেমি দেওয়া আছে। আমাদের রম্বসের একটি কোণ $m$ ধরে একটি রম্বস অঙ্কন করতে হবে যার পরিসীমা 11 সেমি