📐 geometry

1. **Problem Statement:** Find the sum of the interior angles of a regular polygon with 7 sides (a heptagon). 2. **Formula:** The sum of the interior angles $S$ of a polygon with $

1. The problem asks for the sum of the interior angles of a polygon with 7 sides (a heptagon). 2. The formula to find the sum of interior angles of any polygon with $n$ sides is:

1. **Problem 1:** Find the area of the region enclosed between two circles given by $$x^2 + y^2 = 1$$

1. The problem asks for the sum of the interior angles of a polygon with seven sides, called a heptagon. 2. The formula to find the sum of interior angles of any polygon with $n$ s

1. **Problem statement:** We have an irregular pentagon with internal angles 68°, 101°, 116°, and 21°, and a triangle sharing one side with the pentagon. We need to find the size o

1. **State the problem:** We have a triangle sharing a side with an irregular pentagon. We need to find the size of angle $g$ in the triangle. 2. **Identify known angles:** The pen

1. **Problem statement:** We need to find the size of angle $g$ in a figure where a triangle shares a side with an irregular pentagon. Given angles are 68°, 77°, 116°, 101°, and 21

1. **State the problem:** We need to find the size of angle $k$ in a non-convex quadrilateral with given angles $29^\circ$, $244^\circ$, and $35^\circ$.\n\n2. **Recall the formula:

1. **Problem:** Given that RO = 2x + 6 and KC = 5x - 3 in parallelogram □ROCK, find $x$. **Step 1:** Recall that in a parallelogram, opposite sides are equal. So, $RO = KC$.

1. Problem: Given that RO = 2x + 6 and KC = 5x - 3 in parallelogram □ROCK, find x. Step 1: State the property used: In a parallelogram, the diagonals bisect each other, so RO = KC.

1. **State the problem:** We have an isosceles triangle ABC with AB = AC, and angles ABC and ACB given by expressions in terms of $x$: $\angle ABC = 3x^2 - 2x + 4$ degrees and $\an

1. The user asked for geometry problems with images. 2. Currently, I cannot generate or embed images directly.

1. **Stating the problem:** Find the area of circular sectors with given radii and angles.

1. The problem is to find the volume of solids with bases that are regular polygons. 2. The general formula for the volume of a prism is $$V = B \times h$$ where $B$ is the area of

1. Let's start by stating the problem: We want to find the volume of a solid whose base is a regular polygon. 2. The volume of such a solid is generally found by multiplying the ar

1. The problem asks to fill in the blanks related to triangle terminology and properties. 2. a) The line joining a vertex of a triangle to the midpoint of the opposite side is call

1. Problem Q5: In the given figure find the value of $x$. 2. Given: four points $A,B,C,D$ on a circle clockwise, chords $AB,AC,AD,CD$ are drawn, an interior point $P$ is intersecti

1. **Problem Statement:** Given a circle with center $O$, diameter $AB$, and points $C$, $D$, $E$ on the circumference such that $BC = BE$ and $\angle ADC = 120^\circ$, find the me

1. Problem Q5: Two chords AB and CD intersect inside a circle at point P with $\angle ABP=40^\circ$, $\angle BPC=110^\circ$, and $\angle CDP=x$; find $x$. 2. Formula and rules: For

1. **Problem Statement:** We are given a circle with points A, B, C, D on the circumference forming a quadrilateral. The angle at point D inside the circle is $80^\circ$. At point

1. **Problem Statement:** We are given a circle with chords AB and CD intersecting at point P inside the circle. The angle at B is 40°, the angle formed at P by chords AB and CD is