Ravi Kant Kumar

Find the Radian Measure Corresponding to the Following Degree Measure : \( 7^\circ 30′ \) First convert minutes into degrees: \[ 30′ = \frac{30}{60}^\circ = \frac{1}{2}^\circ \] Therefore, \[ 7^\circ 30′ = 7.5^\circ = \frac{15}{2}^\circ \] To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Conversion

Find the Radian Measure Corresponding to the Following Degree Measure : \( -300^\circ \) To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Given: \[ -300^\circ \] Conversion into Radians \[ -300^\circ \times \frac{\pi}{180^\circ} \] \[ = \frac{-300\pi}{180} \] \[ = -\frac{5\pi}{3} \] Answer \[ -\frac{5\pi}{3}

Find the Radian Measure Corresponding to the Following Degree Measure : \( 135^\circ \) To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Given: \[ 135^\circ \] Conversion into Radians \[ 135^\circ \times \frac{\pi}{180^\circ} \] \[ = \frac{135\pi}{180} \] \[ = \frac{3\pi}{4} \] Answer \[ \frac{3\pi}{4}

Find the Radian Measure Corresponding to the Following Degree Measure : \( -56^\circ \) To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Given: \[ -56^\circ \] Conversion into Radians \[ -56^\circ \times \frac{\pi}{180^\circ} \] \[ = \frac{-56\pi}{180} \] \[ = \frac{-14\pi}{45} \] Answer \[ -\frac{14\pi}{45}

Find the Radian Measure Corresponding to the Following Degree Measure : \( 35^\circ \) To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Given: \[ 35^\circ \] Conversion into Radians \[ 35^\circ \times \frac{\pi}{180^\circ} \] \[ = \frac{35\pi}{180} \] \[ = \frac{7\pi}{36} \] Answer \[ \frac{7\pi}{36}

Find the Radian Measure Corresponding to the Following Degree Measure : \( 300^\circ \) To convert a degree measure into radians, we use the formula: \[ \text{Radian} = \text{Degree} \times \frac{\pi}{180^\circ} \] Given: \[ 300^\circ \] Conversion into Radians \[ 300^\circ \times \frac{\pi}{180^\circ} \] \[ = \frac{300\pi}{180} \] \[ = \frac{5\pi}{3} \] Answer \[ \frac{5\pi}{3}

Find the Degree Measure Corresponding to the Following Radian Measure : \( 1 \) To convert a radian measure into degree measure, we use the formula: \[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \] Given: \[ 1 \] Conversion into Degrees \[ 1 \times \frac{180^\circ}{\pi} \] \[ = \frac{180^\circ}{\pi} \] \[ \approx 57.30^\circ \] Answer \[

Find the Degree Measure Corresponding to the Following Radian Measure : \( 11 \) To convert a radian measure into degree measure, we use the formula: \[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \] Given: \[ 11 \] Conversion into Degrees \[ 11 \times \frac{180^\circ}{\pi} \] \[ = \frac{1980^\circ}{\pi} \] \[ \approx 630.25^\circ \] Answer \[

Find the Degree Measure Corresponding to the Following Radian Measure : \( -3 \) To convert a radian measure into degree measure, we use the formula: \[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \] Given: \[ -3 \] Conversion into Degrees \[ -3 \times \frac{180^\circ}{\pi} \] \[ = -\frac{540^\circ}{\pi} \] \[ \approx -171.89^\circ \] Answer \[

Find the Degree Measure Corresponding to the Following Radian Measure : \( \frac{18\pi}{5} \) To convert a radian measure into degree measure, we use the formula: \[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \] Given: \[ \frac{18\pi}{5} \] Conversion into Degrees \[ \frac{18\pi}{5} \times \frac{180^\circ}{\pi} \] \[ = \frac{18 \times 180^\circ}{5} \] \[ = 18 \times